' +JJJJ ?\>m0M='+l> /+l  P˵B̵CõDĵEµµBD ĵ ⵭µ ۰ µL` 鷎귭෍ᷩ췩緈JJJJx i L8ᷭ緍췩 i 8 `巬 췌`x (`(8`I`B` ``>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8  '  & x)*++`FG8`0($ p,&" ʎ L/  !"#$%&'()*+,-./0123456789:;<=>?  1#"""  (9"1 ( ,.(0# 2  /#0/#0 *?'#07#00/0/'#07#0:"4<*55/**5/*%5/)1/)1/)1/)'#0/#0*5/*75/**5/*:5//#0/#0'#07#0:::*::'#07#0EB H  @H !D)"E` @ $ C ` DQ &J80^݌Hh ü ü݌ ռ ռ ռA ļD ļ? ļAEDE?HJ>h Լ ռ ռ ռ`HJ>݌h Hh݌`HIHHHHhHH݌hHhHh݌H6 VDP (ED Z $0x8x D- ܸDD# H8`?E Vk *f???0xE Hh D#-EEE8` D ܸx D - ܸx8`-0ݩ?ʥD EEE`   d@ŵLҦL [` ~  LӜu`".Q`pNФbptťܥm2<(-Py0\|e<6e<ԍ L}JJJJj귍hI  aUL@ kU8  L  Q^R(jQ0l^l\8õ浍õĵBD` L[W ԧ H h@ [_ /QSIRb_L`LLLL`ª`LQLYLeLXLeLee ўQH\(h0L& $`( R \ZLl8 ўR HH\`\Z[YS6`LxQɿu3'RͲʎRʎ]]]ɍuL͟ɍ}RLRɍg^H8 ^hZLɍR LͲɊRR% QLܤͲ Z@ -^ ş\[Z QY\[Z8`l6Lş_Ȍb_Ͳ] )Y h( ֭ͲLɍ [LLĦ__ ^ 9 LҦ3 9 a   0LjLY u< (_9 ˭ɠuɠK_9 ?LˆʎõĵL õ ĵµ aµ`` L̦µ_bJLLz L^ ۰L^  ȟ QlXJ̥KlV  ȟ QlV eօ3L׮ʊHLQ &RL &QL d L4 Ne)n `@-eff L f`L . tQLѤ LҦL` OPu d L Ne)noon 8ɍ` ^f\õL ^NR  RΩLҦ)\Z ʽ LHv 3h`0h8` [L NС õ`A@` ŵLȿõ` F`  \ 濭0 \  ȟ Q ^\lZl^?cqH şch`fhjõĵ@OAP`u@`@&`QR`E Ls  @DAE@u`8` %@ @A@`@`@A`Mµ ) LЦ`8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`9V8U897T6S67`INILOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (  Ϡ@跻~!Wo*9~~ɬƬ~~~_ j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_ J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ!  8صٵ紭ﵝ 7L (0+BC  7L HH`LgL{0 HH` õL ꝍ ŤL{ BH [ h`Lo õ ڬL ꝍ ŤL~H hB@ յյ [L (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ 7 ^* B0 HȱBh ӵԵ 8 L8 ݲ` ܫ  / / ED B / / ]ƴS0Jȴ ȴ)  紅D贅E B ƴ  / 0L Ν `HD٤DEEhiHLGh ` ŵBѵ-` ѵB-` ܫ XI볩쳢8DH ؿ E𳈈췍Ȍ X0 · JLǵBȵC`,յp` 䯩 R-յյ`յ0` K R-յյ`ɵʵӵԵ` 4 K ( ѵҵLBȱBL8` DBHBH : ַ޵BȭߵBhhӵԵ RBܵmڵ޵ȱBݵm۵ߵ` 䯩LR˵̵ֵ׵`êĪLR E( 8` R` ELRŪƪ`췌 յյI뷭鷭  ˤLª 뷰` Lk ݵܵߵ޵ ^`8ܵ i B8` 9L%ֵȱB׵ ܯ䵍൭嵍 ` DȑB׵BֵO G굎뵎쵬 뵎쵌`` ַ յյ`@ +õm浍õĵL õBĵCصص Qƴ0"Bƴ 󮜳` 0۰ϬBƴ8`i#`ЗLw!0>ﵭ` m ﳐ 7i볍 8 ЉLw`H h ݲL~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈m浍浭m䵍䵐`"L ŵ8ŵH ~(`  d֠ĭz#`>|c~p~p#$ !@ DD@@RD@ f@ypa8|pp>x$b1 D#AH!DHH "2""@LHH q>x?xa@0yqp@H@H@@ $$$ p_|?a~?0 qq0 d"``?~"">"@HppH`@`@cg`98"|@B#0DDD@2D a3  @" D D$2@x8BcAH!DH """>"@HHx `@0@HEH@ $$$p_mC|xd  bGxHA!~C~""""@HH `| ` `@Af@0 \OGyqp `  888pcD|@~@ B D D|$CH !DH """""@HI0 ``98`GG@pcCCLc0<`y C||"<<@G@s@`@Af@0 A@ B B"HHxp1D qDD$ GFGCHH <<<OPqpq `p|@C%x8XGCPp#p<~   CLEAR SCREENSF 1:3:(30);"NOW, YOU TRY TO FACTOR THIS MONOMIAL."b 3:22:"18X";(25);"2" 10:3:(30);"ARE THERE ANY FACTORS THAT ARE NOT":12:5:"PRIME? " 12:12:(29);:12000:A$B$:(29) A$"YES"A$"NO"ī230J 255:12:22:4  ** PROG4 6 **+_D$(4): CTRL/D@d762,0: POINTERXn36864: SET MEMORYxD$"BLOAD HGRW A9080 L580": LOAD GRAPHIC WRITER37024: TURN WRITER ON(36860)170Ĺ36860,0::2:100:0:1:SETTINGS SCREEN 1 9000: 2050#(16384)141Ĺ16368,0:-2020IB2060,170,330,520,690^ 36860,170:2080u(4)"RUN QUIZ1 4" (4)"PR#0": 230,64:62450:100:,,X279,X:X:'0R'XTVT81:1,X279,X:X:X184191:1,X279,X:X:100:f.16368,0:B$""t.P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070. ********* CHANGE SPEED ********.A$(13)ĩ1384)141Ĺ16368,0:40202B5050,190,900r230,32:62450:230,64:62450:100:: CLEAR HI-RES SCREENS36860,170:5070D$;"RUN PROG2 2"D$(4):D$:D$;"PR#0":: TURN GRAPHIC WRITER OFF %XTVT81:1,X279,X:X:X184191:19:9:"DO ONE OF TWO THINGS:"(5_21,84249,84249,12621,12621,84:21,107249,10712:5:"1) ";(30);"PRESS ";::(29);" B ";::(29);" TO CONTINUE BACK"13:8:"TO THE LAST PAGE;", 15:1:"OR":15:5:"2) ";(30);"PRESS ";::0);"BEFORE WE BEGIN FACTORING POLYNOMIALS,"P3:5:"YOU SHOULD KNOW THIS IN"k3:29:"CASE YOU GET"4:5:"CONFUSED:"7:5:(30);"WHENEVER YOU SEE THE SENTENCE"8:6:"'";(30);"PRESS ";::(29);"RETURN";::(29);" TO CONTINUE'"!V):(H1):"A+BX+2C":147,132196,132:(V2):(H3):"4XY"@(V):(H1):"32XY+2Y":217,132266,132:(V2):(H3):"253"P834:23:P:" ":PP1620:22:P:" ":PP834:21:P:" ":P40006000:B4+2:2:(3);"3";(25);")"8^B(V1):(H2):"X";(25);"(";(25);"3";(25);"-";(25);"2";(25);")"dLV(V):(H4):175,86165,86165,96161,90:"X":(V2):(H1):"(X";(25);"1";(25);"/";(25);"2)"`j(V1):(H2):"4X";(25);"2+Y"t:~((25);"2">(V1):(H1):"3X";(25);"3+B";(25);"2+C"D(V):(H3):"15":154,132182,132:(V2):(H3):"3X"(V):(H3):"27X":224,132259,132:(V2):(H4):"5"$.(V1):(H2):"X";(25);"(";(25);"2";(25);"-";(25$:(V2):(H):BL$:(V):(H)\X950,970,990,1010,1030,1050,1070,1090,1110,1130,1150,1170dZ$kXu1190(V1):(H2):"5+X";(153);"-";(153);"2"(V1):(H2):"5+X";(25);"2"(V1):(H2):"X";(25);"1";(25);"/"; TO SEE SOME EXAMPLES? (Y/N)":16368,0:Z$< Z$"N"1205H 3:255d>P2533:21:P:" ":PHP555:20:P:" ":PR3000\BL$" "k6:23:(29);"WRONG";:33:"RIGHT";(29):3000pX112z5010BL$:(V1):(H):BL29);(30);"NO"$9:6:"NEGATIVE"D10:5:"EXPONENT(S)":5070[12:9:(30);"NO"t13:5:"FRACTIONAL"14:5:"EXPONENT(S)":507016:5:(30);"NO VARIABLES"17:9:"IN A"18:5:"DENOMINATOR":5080+20:5:(30);"WANTNDITIONS"9l3:3:"WHICH MUST BE MET IN ORDER TO HAVE"Zv4:3:"A POLYNOMIAL:":5070~1,37277,37277,1481,1481,371,52277,52:1,84277,84:1,116277,116207,37207,148:137,37137,1486:6:(29);"CONDITION":50708:9:(11,24:5070:111,32:5070:61,32:5070:61,70:5070:107,70I &5060 019:2:(30);"AS YOU CAN SEE, THE EXPRESSION SHOWN" :20:3:"ABOVE IS NOT A POLYNOMIAL." D5070 N4000 X6000:5::B3 b2:1:(30);"THESE ARE THE ONLY THREE COACTIONAL EXPONENTS" 5080$ 2f 268,108272,108:5070:272,30:5070:132,30:5070:132,42p 5060 16:12:"AND ";::"NO";::" VARIABLES IN THE" 17:19:"DENOMINATOR." 5080 1? 211,132279,132:5070:279,24:5070:11:BL$:6030_rV1:HLOC1:C$;:6030:HLOC1:BL$:6030:V:HLOC1:BL$;:6030:HLOC1:C$e|v(#I130:I:2#VOLD:HOLD:BL$;:9000<#VOLDVOLD1:VOLD:HOLD:C$;:9000F#HLOCHOLDHNOWST:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#S)"PR#0":pI11000:I:.zI1500:I:@I1300:I:QI130:I:a@V1:H:C$gJT6030:V1:H:BL$:6030:V2:H:C$;:6030:H:BL$^6030:VLOCV2:VLOC:HLOCH1NH1:HLOC:C$;:6030:HLOC:BL$;:6030:HLOC hV2:HLOC11259,11:a16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010B5060,200,550,71036860,170:5080(4)"RUN COMBINATION 7" (45,X:X6C$"3":HOLD21:HNOW23:VOLD8:BL$" ":9010SX4954:127,X145,X:X{8:26:(30);"FACTORED FORM":601050005080:(4)"RUN DIFSQUA1 9" 255:1:4:(29);"2). DIFFERENCE OF SQUARES (";(29);"CONT'D)":100 6:21,8:20:" "=C$"3":HOLD19:HNOW15:VOLD8:BL$" ":901021:7:"....AND THEN AS A ";::(29);"DIFFERENCE";::(29);"...."10:17:"( - )"255C$"5Z":ST1:HOLD15:HNOW18:VOLD8:BL$" ":90101000:X4854:83,X106,126186,138172,138172,126117:28:"...."19:6:(30);"AND WRITE THE TWO AS A ";::(29);"SUM";::(29);"....":602010:9:"( + )"8:14:" "255C$"5Z":ST1:HOLD12:HNOW10:VOLD8:VNOW10:BL$" ":9010100 ".5Z":6020-127,54136,49:145,54136,49N8:19:"3";(25);".3":602015:6:(30);"WE TAKE THE ROOT OF 25Z";(25);"2"2:178,107212,107212,123178,123178,10715:32:"...."17:9:(30);"AND THE ROOT OF 9"172,126180:60000f3:2:(29);"EXAMPLE 2";(29):6020Vk6:13:"25Z";(25);"2 - 9":6020pp2:1,83279,83:6020u12:2:(30);"BOTH TERMS HAVE AN EXACT, WHOLE SQUARE"z13:18:"ROOT.":60205:83,5494,48:105,5494,48 8:12:"5Z";(25);C$ |0u255:1:" 41N"1DuX1024110440FNuYXX7128128TXuZYY39t]u(Z)154(Z)128ī30060bu((Z));luZ::Y,Xvu4(Z)128ī30060bu((Z));luZ::Y,XvuD WAY UP AND ERASES IT i^6030:VLOCV2:VLOC:HLOCH1NH1:HLOC:C$;:6030:HLOC:BL$;:6030:HLOChV2:HLOC1:BL$:6030: ERASES LAST HORIZONTALLY MOVED CHAR. rV1:HLOC1:C$;:6030:HLOC1:BL$:6030:V:HLOC1:BL$;:6030:HLOC1:130:C:%100:C130:C:255:qX255:1:3:(29);"1). GREATEST COMMON FACTORS (";(29);"CONT'D)";:100b5:15,11264,11:1:@V1:H:C$: MOVES CHAR.UPJT6030:V1:H:BL$:6030:V2:H:C$;:6030:H:BL$: MOVES CHAR. REST OF"$(16384)194Ĺ16368,0:5050C(16384)141Ĺ16368,0:M5010jB5060,150,310,700,109036860,170:5080(4)"RUN PROG4 6"(4)"PR#0":: TURN GRAPHIC WRITER OFFpC11000:C:zC1500:C:C1300:C: CVE THE FACTORED FORM."6255:7:I814:I:" ";:IJ7:11:"16X(6"f7:I2123:I:" ";:I}7:19:"X)":600050005080:D$;"RUN DIFSQUA 8"16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE$" ":8000F7:15:" "%P8020/Z6010WdV7:H21:NH10:C$"X":BL$" ":8000nn7:22:(153);" "xx8020600018:2:(30);"AND NOW THAT THE TERMS IN THE PAREN-"20:5:"THESES HAVE NOTHING LEFT IN COMMON,"22:5:"WE HA 6" 80206000S H19:8000: THE OTHER DECLARATIONS STAY THE SAME j7:19:" ":8020y100:6000(16:2:(30);"WE CAN STILL FACTOR OUT AN X ....":201,117213,117213,131201,131201,11726000 <V7:H15:NH10:C$"X":BL  ,84 j6010gk15:5:"4).";(30)"OR ANY ";(29);"SUM";(29);" OF PERFECT ";(29);"CUBES";(29);"."ql6010p5:93,108246,108246,128245,128245,108:245,12893,12893,108z6000:600018:2:(30)"THIS MEANS THAT ANY ";(29)"BINOMIAL "C21,84245,84D6010BE5:93,60173,60173,8493,8493,60LH6010R12:5:"3).";(30)"OR ANY ";(29);"DIFFERENCE";(29);" OF PERFECT"W13:17:(29)"CUBES";(29);","a7:21,108245,108f6010h5:93,84173,84173,10893,10893 7:5:"1).";(30)"THOSE WITH A ";(29)"COMMON FACTOR";(29)","Y*21,60245,60:6010+5:135,40246,40246,60135,60135,40:7/601049:5:"2).";(30)"OR ANY ";(29);"DIFFERENCE";(29);" OF PERFECT"910:16:(29)"SQUARES";(29);","273,X:X-5000: PRESS RETURN TO CONTINUE;B3:4000r2:2:(30)"THUS, WE HAVE SEEN THE FOUR TYPES OF" 4:4:"FACTORABLE ";(29)"BINOMIALS:";(29)7:20,4020,12821,12821,40245,40245,128246,128246,40:244,12822,1286010AZ#HLOCHLOC1d#HLOC:BL$fn#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCx#VLOC1:HLOC:BL$;:9000:HLOC:C$#'230,32:62450:230,64:62450:D00:VLOC:HLOC:BL$:9000:VLOC x#VLOC1:HLOC:BL$;:9000:HLOC:8000:VLOC:HLOC:BL$:8000:VLOCJVLOC1:HLOC:BL$;:8000:HLOC:C$Pa(#I130:I:}2#VOLD:HOLD:BL$;:9000<#VOLDVOLD1:VOLD:HOLD:C$;:9000F#HLOCHOLDHNOWST:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:90601:C$ @I130:I:9JVOLD:HOLD:BL$;:8000`TVOLDVOLD2:VOLD:HOLD:C$;:8000^HLOCHOLDHNOWST:HLOC:C$;:8000:HLOC:BL$;:8000:HLOChST0HLOCHLOC1:8060rHLOCHLOC1|HLOC:BL$"VLOCVOLDVNOW:VLOC:HLOC:C$:6040:V1:H:"  ":6040:V1:H:C$;:6040:H:"  "v6040:VLOCV1:VLOC:HLOCH1NH1:HLOC:C$;:6040:HLOC:"  ";:6040:HLOCV1:HLOC1:" ":6040V1:HLOC1:C$;:6040:HLOC1:"  ":6040:V1:HLOC1:"  ";:6040:HLOC(16384)141Ĺ16368,0:"50102B5060,200G36860,170:5080a(4)"RUN DIFSQUA1 9"s(4)"PR#0":pI11000:I:zI1500:I:I1300:I:100:I130:I:255:I130:I:XV1:H:C$: MOVES CHAR.UPb:lNT'D)":100"6:21,11259,11:i255:1:5:(29);"3). DIFFERENCE OF CUBES (";(29);"CONT'D)":1005:28,11252,11:16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:505010:10:"  ":7020 100E23:10:"ADDED TOGETHER.":6020i11:22:"+":11:28:"+":60209:28:(30);"FACTORED FORM":602050005080:(4)"RUN SUMCUBES 11" 255:1:4:(29);"2). DIFFERENCE OF SQUARES (";(29);"COOSITE";(29);" OF THE ";::(29);"PRODUCT":[k22:8:(29);"OF THE TWO CUBE ROOTS...."do255p10:10:"-4X";(25);"2":6020u50:21:12::(29);"OPPOSITE";(29)::100z10:10:"+":6020{200C$"4X2":H11:NH24:V10:7000OLD8:BL$" ":9010:6020*M8:26:" "\RC$"-1":HOLD27:HNOW29:VOLD8:BL$" ":9010yU11:28:(25);".":6020WX4151:154,X190,X:X:6020\P2630:11:P:" ":Pa11:30:"1":6020b100-f21:4:(30);"AND THE ";(29);"OPP230,32:62450:230,64:62450:DC$;:9000JF#HLOCHOLDHNOWST:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCfP#ST0HLOCHLOC1:9060vZ#HLOCHLOC1d#HLOC:BL$n#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCx#VLOC1:HLOC:BL$;:9000:HLOC:C$#'T0HLOCHLOC1:9060%Z#HLOCHLOC1Pd#HLOC:BL$:** BLANK OUT TURNING POINTn#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCx#VLOC1:HLOC:BL$;:9000:HLOC:C$#'230,32:62450:230,64:62450:D2450:H(25);"-";(25);"3" h3, r75,59182,59? |9:17:"Y+15"I 5090 12:3:"BUT CONTAINS ";::"NO";::" NEGATIVE EXPONENTS" 5080 5 253,93263,93:5070:263,37:5070:171,37:5070:171,41 5060 14:16::"NO";::" FR 5060 17:22:"OR EVEN") 5070< 20:30:"172"F 5060P "4000^ ,6000:B2 62:1:(29);"A TRUE POLYNOMIAL CAN LOOK VERY SIMILAR" @3:1:"TO THIS:" J5060 ^7:12:(29);"X";(25);"2 + Y";(25);"5";(25);"/";(25);"6 + Z";,3671,549,549,36:5070I 5:99,80169,80169,11899,11899,80:5070 6:196,146232,146232,166196,166196,146:5070 6:3:(29);"10X - 9":5060 9:10:"OR":5070 3 12:16:"3X";(25);"2 + 2X";:106,100162,100:14:20:"9" *** POLYDEF 1 ***$d36864/n762,0;xD$(4)ZD$"BLOAD HGRW A9080 L580"e37024(36860)170Ĺ36860,0:13906000:B1:(29)2:1:"A POLYNOMIAL IS AN ORDINARY ALGEBRAIC"3:1:"EXPRESSION, SUCH AS:" 1:9,3671           /12010%&/(B$)1B$"":12010A0/B$(B$,(B$)1):12010ĩ100:P1:P11:P1(B$):" ";:(29);:?/(A$)32ī12010L/B$B$A$e/P1:P1(B$):" ";p/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010Bu1:" 41N"DuX1024110440NuYXX7128128XuZYY39bu((Z)); lu:S1T96'S0T88''S2T1126'S3T104s'S0:XTVT81:1,X279,X:X:X176191:1,X279,X:X:.16368,0:B$"":(29);.P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070*.A$(13)40B2#HLOCHOLDHNOWST:HLOC:C$;:6040:HLOC:BL$;:6040:HLOC^5#ST0HLOCHLOC1:9015n6#HLOCHLOC1}7#HLOC:BL$<#VLOCVOLD1VNOW:VLOC:HLOC:C$:6040:VLOC:HLOC:BL$:6040:VLOCA#VLOC1:HLOC:BL$;:6040:HLOC:C$F#100: '00: 5010B5070,36860,0:5080E(4)"RUN COMBIN 12"W(4)"PR#0":jpC11000:C:|zC1500:C:C1300:C:C130:C:100:C130:C:255:(#255:VOLD:HOLD:BL$;:6040-#VOLDVOLD1:VOLD:HOLD:C$;:60RED."*5:5,66221,66221,865,865,6645000P(4)"RUN BI QUIZ (14)"V c:100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,OW THERE ARE NO COMMON FACTORS...."-6010^14:1:(30)"NO DIFFERENCES OF SQUARES...."h601016:1:(30)"NO DIFFERENCES OF CUBES...."601018:1:(30)"AND NO SUMS OF CUBES."601020:1:(30)"OUR BINOMIAL IS NOW FACTO9060Z#HLOCHLOC1#d#HLOC:BL$jn#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCx#VLOC1:HLOC:BL$;:9000:HLOC:C$#'0'X(S1)8VT81:1,X279,X:X:X176191:1,X279,X:X:S0:SI1300:I:I130:I:8100:I130:I:255:I(#I130:I:e2#VOLD:HOLD:BL$;:9000<#VOLDVOLD1:VOLD:HOLD:C$;:9000A#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:::(29);"RETURN";(29);::" TO CONTINUE"4100W(16384)194Ĺ16368,0:5050v(16384)141Ĺ16368,0:5010B5060,200,49036860,170:5080(4)"RUN DIFCUBE 10"(4)"PR#0":pI11000:I:zI1500:I: ;(29)"NOT LISTED"H20:2:"ABOVE,SUCH AS A SUM OF PERFECT SQUARES,"^22:2:"CAN'T ";s7:7,17942,179"BE FACTORED, SO DON'T TRY."50005080:(4)"RUN COMBIN 12" 255::100:+16368,0:255:24:9:(30)"PRESS ";121I U2Ģ15:7:"3Y + 4";:19:"9Y";(25);"2 - 12Y + 16":X1600:X!0:J136176:1,J279,J:J:17:3:(30);"DO YOU SEE NOW?""17:19:(29);:12000:S$B$:(29)#U2S$"YES"S$"Y"ī551S$U2S$"NO"S$"N"İ5000:10:3:(30);"PLE601mUU1:U2Ģ20:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS...":0:J106120:1,J279,J:J{U1ī553U2Ģ15:5:"(";:15:") (";:35:")"U2Ē7:42,12156,121:77,12191,121:126,121147,121:168,121189,121:210,121231,[ ^S$(64)S$(68)Ē0:J176184:49,J238,J:J:7:34:(29);:12000:S$B$:(29):340{ h0:J136144:1,J279,J:J r18:3 |S$"D"ĺ(30);"THAT'S RIGHT. ";:400 (30);"YOU'RE WRONG. "; "27Y";(25);"3";:5:115,130151,130151,140 (4);"RUN CHECKPOINTS 13"3(4);"PR#0":=.B$""K.P1(A)1\.P(37):255.P1:P1:(B$)1):P1:P1:B$;" ";.A$.A$(8)ī12070.A$(13)ĩ100:P1:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$(4):D$"RUN BI QUIZ1 (15)"r255:16368,0::24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"{100(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050,160230,64:62450:36360,170:508;"INCORRECT. ";(30);"SINCE THIS IS A ";(29);"DIFFER-":20:3:"ENCE OF SQUARES, ";(29);"THE FIRST STEP IS TO":22:3:"TAKE SQUARE ROOTS. ";(30);"SO";27:(30);"B";:178,164192,164192,180178,180178,164:30:"IS CORRECT." 4000:D$E ANOTHER":22:3:"ANSWER."R$"D"Ģ18:3:(30);"WRONG. ";(30);"THIS BINOMIAL IS ONE OF THE":20:3:"TYPES WE JUST STUDIED, SO TRY AGAIN." R$"A"R$"D"Ģ7:25:" ":725 R$"B"Ģ18:3:(30);"THAT'S RIGHT. ";R$"C"Ģ18:3:(30)28176:1,J279,J:J:2R$"A"Ģ18:3:(30);"WRONG.";:11:"9";:66,13082,13082,14866,14866,130:14:"AND ";:19:"25X";(25);"2";R$"A"ē122,130158,130158,148122,148122,130:25:"DON'T HAVE":20:3:"ANYTHING IN COMMON. ";(30);"CHOOS7:25:(29);:12000:R$B$:(29)R$(64)R$(68)Ģ23:8:(30);"PLEASE ENTER ";(29);"A, B, C, ";(29);"OR ";(30);"D.":I1600:I:7:34:" "R$(64)R$(68)Ē0:J176184:49,J238,J:J:7:25:(29);:12000:R$B$:(29):7250:J1 TERM"15:4:(30);"D";>32,10832,12418,12418,108h7:(30);"NOTHING -- IT'S FACTORED."32,60278,60278,12432,12418:3:(30);"TYPE THE LETTER OF YOUR CHOICE AND"20:13:"PRESS ";::(29);"RETURN";(29):100!32,7618,7618,60:v7:(30);"TAKE OUT A COMMON FACTOR"Q{11:4:(30);"B";n32,7632,9218,9218,767:(30);"TAKE THE SQUARE ROOT OF EACH TERM"13:4:(30);"C";32,9232,10818,10818,927:(30);"TAKE THE CUBE ROOT OF EACHEEN2I5000:B2NB2_S1:3:(30);"NOW WE CAN FACTOR THIS ";(29);"DIFFERENCE";(29);U3:8:"OF ";(29)"SQUARES.";(29)X5:13:"25X";(25);"2 - 9"b7:3:(30);"WHAT DO YOU DO FIRST?"g200l9:4:(30);"A";q18,6032,60:2:"AND SO IS 9 "<80,16380,14994,14994,16380,163n&20:15:". ";(30);"THE MINUS SIGN MAKES IT"022:2:"A ";(29);"DIFFERENCE. S";(29);"O ";(29);"B ";(29);:130,179130,165144,165144,179130,179:"IS CORRECT."D4000G SCR2", 88,14788,130122,130122,14788,147_ 18:20:"IS A PERFECT ";(29);"SQUARE,";(29)h 530 18:2:(30);"THAT'S RIGHT. 25X";(25);"2" 102,147102,130136,130136,147102,147 18:21:"IS A PERFECT ";(29);"SQUARE,";(29)20, B, C, ";(29);"OR ";(30);"D.":I1600:I:7:34:" " uR$(64)R$(68)Ē0:J176184:49,J238,J:J:7:34:(29);:12000:R$B$:(29):370 |0:J136184:1,J279,J:J:2 R$"B"ī500  ELSE 18:2:(30);"INCORRECT. 25X";(25);"4,60264,12432,123f T18:3:(30);"PLEASE TYPE ";(29);"A, B, C, ";(29);"OR ";(30);"D AND PRESS" ^20:17::(29);"RETURN";(29);::"." c100 h7:34:(29);:12000:R$B$:(29)9 rR$(64)R$(68)Ģ23:8:(30);"PLEASE ENTER ";(29);"A18:3:"ARE LEFT WITH A ";(29);"DIFFERENCE";(29);" OF THE"s20:3:(29);"SQUARES";(29);" 4Y";(25);"2"73,14773,163101,163101,14773,14720:17:"AND X";(25);"2"143,147143,163163,163163,147143,14720:25:"."6:3:(30);"RIGHT.":470f19:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:14:34:" "0:J144152:49,J224,J:J:44516:10:(30);"AFTER THE 3"5:135,117135,131151,131151,117135,11716:24:"IS TAKEN OUT, WE"@"4"D$"-"E$"1"ī440]16:8:(30);"SORRY. ";(30);"LET'S TRY AGAIN.":X1600:X:35514:3:(30);"IS IT COMPLETELY FACTORED NOW?"14:34:(29);:12000:S$B$:(29)S$"YES"S$"Y"Ģ16:3:(30);"WRONG.":470S$"NO"S$"N"Ģ111:21:" "$D$"+"D$"-"ī420u13:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J6072:140,J168,J:J0:J96104:63,J196,J:J:4007:164,82164,87:11:24:"^"9:24:(29);:12000:E$B$:(29):11:24:" "Q$"3"C$(25);"2)"*|7:73,8273,87:11:11:"^"^9:11:(29);:12000:Q$B$:(29):11:11:" "7:108,82108,87:11:16:"^"9:16:(29);:12000:C$B$:(29):11:16:" "7:143,82143,87:11:21:"^" 9:21:(29);:12000:D$B$:(29):158,165#T22:27:"IS CORRECT."-Y4000;^ SCREEN2Ec5000MhB2xm2:3:(30);"NOW FILL IN THE BLANKS:"r6:14:"12Y";(25);"2 - 3X";(25);"2" w7:63,7483,74:9:14:"(";:99,74117,74:18:"Y";(25);"2";:155,74173,74:26:"X";22,147' 120:25:"AND 3X";(25);"2"T 6198,147198,162228,162228,147198,147g ;20:35:"ARE" @22:2:"DIVISIBLE BY 3" E102,165102,179116,179116,165102,165 J22:18:". ";(30);"SO ";(30);"A"O158,165158,179172,179172,165:34:(29);:12000:R$B$:(29):265N R$"A"Ģ18:2:(30);"RIGHT. ":292Y  ELSEu "18:2:(30);"WRONG. " $18:9:(30);"THERE ARE NO PERFECT SQUARES OR" '20:2:"CUBES, BUT BOTH 12Y";(25);"2" ,2:122,147122,162158,162158,1471202,60202,12424,124 100F 7:34:(29);:12000:R$B$:(29) R$(64)R$(68)Ģ19:5:(30);"PLEASE ENTER ";(29);"A,B,C, ";(29);"OR ";(30);"D.":I1600:I:0:J4556:231,J279,J:J% R$(64)R$(68)Ē0:J144152:1,J279,J:J:7;(29);"SQUARES";(29)- 13:5:(30);"C";L 40,9240,10824,10824,92 8:(29);"DIFFERENCE ";(29);"OF ";(29);"CUBES";(29) 15:5:(30);"D"; 40,10840,12424,12424,108 8:(29);"SUM ";(29);"OF ";(29);"CUBES";(29) 40,60G$"+"G$"-"ī1070$16:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J90105:91,J112,J:J:J120128:1,J279,J:J:1050.15:15:" ";87:108,115108,119:16:"^":13:16:12000:C$B$:15:16:" ";!B7:150,115150,119:22:"^":,106:104,106119,106:19:")(";:146,106161,106:182,106196,106:30:")"n7:73,11573,119:15:11:"^"13:11:12000:H$B$:15:11:" "7:94,11594,119:15:14:"^":13:14:12000:G$B$:15:14:" ";0:J120128:63,J200,J:J:6J279,J:J:J82168:1,J279,J:JX2:2:(30);"NOW WRITE IT IN ITS FACTORED FORM."17:2:(30);"THE ARROW SHOWS WHERE YOUR ANSWER GOES."19:5:(30);"PRESS ";::(29);"RETURN"(29);::" AFTER EACH ANSWER."K7:13:9:"(";:70,10684):" ";/12010-&/(B$)1B$"":12010I0/B$(B$,(B$)1):12010gź(4);"RUN BI QUIZ2 (13)"DJ90104:231,J279,J:J:J120128:1,J279,J:J:730X(4)"RUN TRICOMFAC (22),D2"b5000p16368,010:5:(30);"PLEASE INSERT THE DISK MARKED"12:7:(30);"PART 2 AND PRESS ";(29);::"RETURN";(29): (16384)141Ĺ16368,06:(29);"GOOD BYE!";(29):J11000:J::::`13:5:(30);"DO YOU HAVE TWO DISK DRIVES?"13:34:(29);:12000:Q$B$:(29)780Q$"YES"Q$"Y"750Q$"NO"Q$"N"755716:10:(30);"PLEASE ENTER YES OR NO.":J1600:J:0:- 3X";(25);"2"A 7:3:(30);"WHAT TYPE OF BINOMIAL IS THIS?"J 200` 9:5:(30);"A"; 2:24,6040,6040,7624,7624,60 8:(30);"COMMON FACTOR" 11:5:(30);"B"; 40,7640,9224,9224,76 8:(29);"DIFFERENCE ";(29);"OF " ** BI QUIZ 3 (18) **(dD$(4)3n762,0>x36864]D$"BLOAD HGRW A9080 L580"h37024(36860)170Ĺ36860,0:525::0:1:2:100: SETTINGS5000B12:3:(30);"WHAT DO YOU THINK...." 5:11:"12Y";(25);"2   ! ! !!!!!!!!13:22:12000:D$B$:15:22:" ";hL7:171,115171,119:15:25:"^":13:25:12000:E$B$:15:25:" "OE$"+"E$"-"ī1120Q16:10:(30);"PLEASE ENTER + OR -":X1500:X:0:J90104:168,J189,J:J:J120128:1,J279,J:J:7:1100`15:2תߪժߪժկת׿תժ߿߻ߪ׿ߪתժߪժߪժߪ߮ߪB$,(B$)1):12010.P1(A)1.P(37):255G.P1:P1:(B$)1):P1:P1:B$;" ";O.A$f.A$(27)A$(25)z.A$(8)ī12070.A$(13)ĩ100:P1:P1(B$):" ";:/(A$)32(A$)25ī12010/B$B$A$/12010&/(B$)1B$"":120100/B$( SEE AN INSTRUCTOR FOR HELP":J11000:J:::Y24:9:(30)"PRESS ";(29);::"RETURN";(29);::" TO CONTINUE":A$:A$"B"Ĺ36860,170:(4):(4)"RUN BI QUIZ2 (16)"](4):(4)"RUN BI QUIZ 3 (18)"230,64:62450:.B$"":16368,0 :42,12156,121:77,12191,121:126,121147,121:168,121189,121:210,121231,121.U2Ģ15:7:"3Y + 4";:19:"9Y";(25);"2 - 12Y + 4":22:3:(30);"DO YOU SEE NOW?"/22:19:(29);:12000:S$B$:(29)/0U2S$"NO"S$"N"Ģ24:3:(30);"PLEASE";(29):601])20:10:(30);"WRONG. ";(30);"TRY AGAIN.":0:J106191:1,J279,J:J:390+UU1:U2Ģ20:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS....":0:J106120:1,J279,J:J,U2Ģ15:5:"(";:15:") (";:35:")"Q-U2Ē5ASE SEE AN INSTRUCTOR FOR HELP.":12:3:(29);"GOOD BYE!";(29):J11000:J:::%20:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J124136:126,J279,J:J:J152160:1,J279,J:J:546 'U2Ē0:J184191:1,J270,J::20:18:(29);"GOOD10:7:(30);"DO YOU WISH TO CONTINUE?"R10:32:(29);:12000:R$B$:(29)kR$"YES"R$"Y"725R$"NO"R$"N"71513:10:(30);"PLEASE ENTER YES OR NO.":J1600:J:0:J6680:217,J279,J:J:J96104:1,J279,J:J:695/13:10);"WRONG.":67515:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J3240:224,J279,J:J:J112120:1,J279,J:J:65515:14:(30);"NOW IT'S FACTORED."40005000:B37:6:(30);"YOU HAVE JUST FINISHED ";(30);"PART 1."*176:1,J279,J:J:608 4000.5000:B2V10:8:"(2X - 5)(4X2 + 10X + 25)"5:2:(30);"IS IT COMPLETELY FACTORED NOW?"5:33:(29);:12000:Z$B$:(29)Z$"YES"Z$"Y"Ģ15:7:(30);"RIGHT.":675Z$"NO"Z$"N"Ģ15:7:(3$"N"Ģ22:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":24:3:(29);"GOOD BYE!";(29):J11000:J:::gF$"YES"F$"Y"Ģ22:17:(30);"GREAT!!":640l22:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J152160:126,J279,J:JvJ168136144:1,J279,J:JYG18:3:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOULD BE...."yI0:J108120:1,J279,J:JN15:6:"( 2X + -5 )(4X2 + 10X + 25 )"X20:3:(30);"DO YOU SEE NOW?"`20:19:(29);:12000:F$B$:(29)kbF$"NO"F"-"T$"5")U$"4X2"V$"+"W$"10X"X$"+"Y$"25"Ģ20:13:(30);"THAT'S RIGHT!!":640z:0:J136144:1,J279,J:J?18:11:(30);"WRONG. ";(30);"TRY AGAIN.":J1600:J:0:J108120:1,J279,J:J:J136144:1,J279,J:J:S1:440D0:J136144:112,J279,J:J:X152160:1,X279,X:X:535t+0:J136144:1,J279,J:J:J108120:1,J279,J:J:4400S1(R$"2X"(S$"+"T$"-5")(S$"-"T$"5")U$"4X2"V$"+"W$"10X"X$"+"Y$"25")ī580Z5R$"2X"(S$"+"T$"-5"S$6:206,130206,134:17:30:"^"E 15:30:12000:Y$B$:17:30:" "g18:3:(30);"ARE YOU SURE?"18:17:(29);:12000:Z$B$:(29)Z$"YES"Z$"Y"ī560!Z$"NO"Z$"N"ī5556&20:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J24:"^"-15:24:12000:W$B$:17:24:" "R6:192,130192,134:17:28:"^"x15:28:12000:X$B$:17:28:" "X$"+"X$"-"Ģ18:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J108120:189,J210,J:J:J136144:1,J279,J:J:505 BI QUIZ (14)"!(4);"PR#0":5.B$"":16368,0C.P1(A)1T.P(37):255~.P1:P1:(B$)1):P1:P1:B$;" ";.A$.A$(8)ī12070.A$(13)ĩ100:P1:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):" ";RUN BI QUIZ2 (16)"n255:16368,0::24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE":100(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050230,64:62450::36360,170:5080(4);"RUN0);"PLEASE SEE AN INSTRUCTOR FOR HELP.":24:2:(29);"GOODBYE!!";(29):J11500:J:::22:8:(30);"PLEASE ENTER YES OR NO.":X1500:X0:J149160:119,J279,J:J:J168176:1,J279,J:J:121522:2:(30);"GOOD!!"4000:(4);"'S SEE WHAT THE ANSWER":18:2:"WOULD BE...."y0:J90104:1,J279,J:J:13:9:"( 5X - 3 ) ( 5X + 3 )":J1600:J20:2:(30);"DO YOU SEE NOW?"20:18:(29);:12000:S$B$:(29)S$"Y"S$"YES"ī1230ZS$"NO"S$"N"Ģ22:2:(3X:2000T11ī119080:J128168:1,J279,J:J17:12:(30);"WRONG. ";(30);"TRY AGAIN.":J1600:J:0:J90106:1,J279,J:J:T11J128136:1,J279,J:J:1000.0:J160176:1,J279,J:J:17:2:(30);"WRONG AGAIN. ";(30);"LETz23:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J160168:126,J279,J:J:1143w|J160168:28,J175,J:J(G$"-"E$"+")(G$"+"E$"-")ĭH$"5X"C$"3"D$"5X"F$"3"Ē0:J128184:1,J279,J:J:20:16:(29);"GREAT!!";(29):X1600:5:" ";Jj7:185,115185,119:27:"^":13:27:12000:F$B$:15:27:" "lt21:5:(30);"ARE YOU SURE?"w21:19:(29);:12000:S$B$:(29)xS$"Y"S$"YES"ī1170yS$"NO"S$"N"Ē0:J90104:1,J279,J:J:J160169:1,J279,J:J:1000Yߪժߪתժߪժתߪտתժ߿߻ծW1):P1:P1:B$;" ";.A$1.A$(8)ī12070[.A$(13)ĩ100:P1:P1(B$):" ";:p/(A$)32ī12010}/B$B$A$/P1:P1(B$):" ";/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010J4" TO CONTINUE":1007(16384)194Ĺ16368,0:4050V(16384)141Ĺ16368,0:`4010pB5050,160|:::36860,170:5080(4);"RUN BI QUIZ1 (15)"(4);"PR#0":.B$"".P1(A)1.P(37):255.P1:P1:(B$),";(29):20:3:"TAKE THE CUBE ROOT OF EACH TERM.":22:3:(30);"SO ";(30);"B";5:37,16453,16453,18037,18037,164:10:"IS CORRECT."4000(4)"RUN BI QUIZ2A (17)"255:16368,0:24:9:(30);"PRESS ";::(29);"RETURN";(29);:: OUT. ";(30);"SO TRY":22:3:"AGAIN."S$"D"ĺ(30);"THIS BINOMIAL IS ONE OF THE":20:3:"TYPES WE STUDIED, SO TRY AGAIN."S$"D"S$"C"Ģ2:25:" ":630S$"B"Ģ18:3:(30);"RIGHT. ";S(30);"SINCE THIS IS A SUM OF ";(29);"CUBES;(29);"OR ";(30);"D.":I1600:I:2:25:" "iS$(64)S$(68)Ē0:J184191:49,J238,J:J:6300:J136176:1,J270,J:J:S$"B"ī69018:3:(30);"WRONG. ";(S$"C"ĺ(30);"THE TERMS HAVE NOTHING":20:3:"IN COMMON TO TAKE!X32,60222,60222,12432,124Xb18:3:(30);"TYPE THE LETTER OF YOUR CHOICE AND"l20:13:"PRESS ";::(29);"RETURN";(29):q100v2:25:(29);:12000:S$B$:(29)0S$(64)S$(68)Ģ24:8:(30);"PLEASE ENTER ";(29);"A, B, C, ";"B";"32,7632,9218,9218,76B7:(30);"TAKE CUBE ROOTS"Y13:4:(30);"C";x&32,9232,10818,10818,9207:(30);"TAKE OUT A COMMON FACTOR":15:4:(30);"D";D32,10832,12418,12418,108N7:(30);"NOTHING--IT'S FACTORED"0157,180157,164:27:"IS CORRECT.".4000<5000:B2f2:3:(30);"WHAT DO YOU DO FIRST? "5:11:"27Y";(25);"3 + 64"2009:4:(30);"A";2:18,6032,6032,7618,7618,607:(30);"TAKE SQUARE ROOTS"11:4:(30)7115,147115,130N 24:"AND 64";:193,132213,132213,147193,147193,132b 33:"ARE BOTH" 20:3:"PERFECT ";(29);"CUBES, ";(29);"AND THE ADDITION SIGN"$22:3:"MAKES IT A ";(29);"SUM. S";(29);"O ";(30);"D";:157,164171,164171,18תժ /12010%&/(B$)1B$"":12010A0/B$(B$,(B$)1):12010010TC$ #- '230,32:62450:230,64:62450:00:U$B$:17:18:" ":6:150,130150,134:17:22:"^"`15:22:12000:V$B$:17:22:" "V$"+"V$"-"Ģ18:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J108120:147,J175,J:J:J136144:1,J279,J:J:4856:164,130164,134:17:"S$"+"S$"-"Ģ18:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J108120:70,J91,J:J:J136144:1,J279,J:J:4555:87,13087,134:17:13:"^"15:13:12000:T$B$:17:13:" "6:122,130122,134:17:18:"^"15:18:1205:7:"(";:7:50,12263,122:84,12298,122:16:")(";:120,122140,122:161,122182,122:203,122216,122:33:")"6:52,13052,134:17:8:"^"15:8:12000:R$B$:17:8:" "5:73,13073,134:17:11:"^"15:11:12000:S$B$:17:11:" 60:40,J279,J:J:365 4000=0:J832:1,J279,J:JZJ106191:1,J279,J:J2:3:(30);"NOW PUT THE CORRECT TERMS IN THE"4:3:"PARENTHESES (PRESS ";::(29);"ESC";(29):4:26:"TO MAKE AN"6:13:"EXPONENT):"r1$"N"Ģ20:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":22:3:(29);"GOOD BYE!";(29):J11000:J:::wK$"YES"K$"Y"Ģ20:17:(30);"GREAT!":400|20:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J136144:119,J279,J:JJ1521ULD BE...."Q^0:J91104:54,J279,J:J:6:78,100:106,100:162,100:190,100c13:9:"2X";:13:"2X";:17:"2X";:21:"-5";:25:"-5";:29:"-5":J1700:Jh18:3:(30);"DO YOU SEE NOW?"m18:19:(29);:12000:K$B$:(29)krK$"NO"KJZO16:11:(30);"WRONG. ";(30);"TRY AGAIN.":J1600:J:0:J91104:54,J279,J:JQJ120128:1,J279,J:J:T1:6:78,100:106,100:162,100:190,100:200T0:J120128:1,J279,J:J Y16:3:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOJI ;I91104:54,I279,I:I:6:78,100:106,100:162,100:190,100:200 @T1(C$"2X"D$"2X"E$"2X"F$"-5"G$"-5"H$"-5")ī340 EC$"2X"D$"2X"E$"2X"F$"-5"G$"-5"H$"-5"Ģ20:17:(30);"RIGHT!!":400J0:J120128:1,J279,J:ARE YOU SURE?"6 16:17:(29);:12000:Z$B$:(29)P "Z$"Y"Z$"YES"ī320i 'Z$"N"Z$"NO"ī310 ,20:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J120128:112,J279,J:J 1J152160:1,J279,J:J:285 60:J120128:1,J279,J:$B$:15:17:" "6 5:143,114143,118:15:21:"^"\ 13:21:12000:F$B$:15:21:" "~ 171,114171,118:15:25:"^" 13:25:12000:G$B$:15:25:" " 199,114199,118:15:29:"^" 13:29:12000:H$B$:15:29:" " 16:3:(30);"4,106:168,106182,106:196,106210,106= 162,100:190,100_ 5:59,11459,118:15:9:"^" 13:9:12000:C$B$:15:9:" " 87,11487,118:15:13:"^" 13:13:12000:D$B$:15:13:" " 115,114115,118:15:17:"^" 13:17:12000:E11:"CORRECT PLACES:"< 8:13:"8X";(25);"3 - 125"k 6:66,8991,65:92,6692,89:93,66117,90 7:56,10670,106:84,10698,106:112,106126,106 6:78,100:106,100 6:150,89175,65:176,66176,89:177,66200,90' 7:140,10615 ** BI QUIZ 6 (21) **(dD$(4)3n762,0>x36864]D$"BLOAD HGRW A9080 L580"h37024(36860)170Ĺ36860,0:645::0:1:1:100:T0:S0:SETTINGS 5000B12:3:(30);"NOW TYPE THE CUBE ROOTS IN THEIR" 4:                   BL$:9000:VLOC7x#VLOC1:HLOC:BL$;:9000:HLOC:C$=#D'0'X(S1)8VT81:1,X279,X:X:X176191:1,X279,X:X:S0:9Z::Y,XvuXvuuX%vu0$;:9000GA#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:9060Z#HLOCHLOC1d#HLOC:BL$n#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:ߪժ׿תժ߿߾ߪ׿ߪպתժߪߪ߿ժߪժߪ߯ߪߪ߮׿ߪժ߿߾׿תժݯߪժժժժժժժתժ߿߯תկ׿ߪժ߿߾׿תժݿת@ߪ߮2ժ                      )"RUN BI QUIZ 4 (19)"'(4)"PR#0":1.B$""?.P1(A)1P.P(37):255x.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):" "; 6 (21)"h255:16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE":100(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050,170,295230,64:62450:100:36860,170:5080(418:15:"AND 8X";(25);"3":129,131129,147157,147157,131129,131a18:25:"HAVE NOTHING"20:2:"IN COMMON TO TAKE OUT. ";(30);"TRY AGAIN.":I1600:I:2:25:" "0:J130160:1,J279,J:J:55540005080:(4)"RUN BI QUIZ,";(29)" THE FIRST THING IS TO TAKE A"g22:2:(29);"CUBE";(29);" ROOT. ";(30);"SO ";(30);"B"107,165107,179123,179123,165107,16522:20:"IS CORRECT.":70018:2:(30);"WRONG. 125":5:59,13359,14787,14787,13359,133E";(29);" ROOT IF THE BINOMIAL INVOLVES"[l22:2:(29);"CUBES. S";(29);"O ";(30);"B"q5:79,16579,17995,17995,16579,165v22:16:"IS CORRECT.":700{18:2:(30);"RIGHT. ";(30);"SINCE THIS BINOMIAL INVOLVES"'20:2:(29);"CUBESHIS BINOMIAL IS ONE OF THE"jS20:2:"TYPES WE STUDIED. ";(30);"TRY AGAIN.":I1600:I:2:25:" "X0:J136144:1,J279,J:J:J152160:1,J279,J:J:555b18:2:(30);"WRONG. ";(30);"THERE'S NO NEED TO TAKE A"(g20:2:(29);"SQUARE(29);"A,B,C, ";(29);"OR ";(30);"D.":I1600:I:0:J816:168,J279,J:J5R$(64)R$(68)Ē0:J144152:1,J279,J:J:2:25:(29);:12000:R$B$:(29):560:R$"A"ī610?R$"B"ī635DR$"C"ī660N18:2:(30);"WRONG. ";(30);"TAKE OUT A COMMON FACTOR"/15:5:(30);"D";P39,10839,12425,12425,108y!8:(30);"NOTHING -- IT'S FACTORED"&40,60225,60225,12424,124'100+2:25:(29);:12000:R$B$:(29)M0R$(64)R$(68)Ģ19:6:(30);"PLEASE ENTER ";9:5:(30);"A";;5:25,6039,6039,7625,7625,60a8:(30);"TAKE THE SQUARE ROOTS"x11:5:(30);"B";39,7639,9225,9225,768:(30);"TAKE THE CUBE ROOTS"13:5:(30);"C"; 39,9239,10825,10825,928:(30);"T63248,163248,147220,147+20:37:"."N22:2:(30);"SO ";(30);"C"v32,16532,17946,17946,16532,16522:9:"IS CORRECT."40005000B32:3:(30);"WHAT DO YOU DO FIRST?"5:12:"8X";(25);"3 - 125"200HT. ":415 ELSE118:2:(30);"WRONG. "[18:9:(30);"THE PERFECT CUBE 125"2:178,133178,147206,147206,133178,13318:32:"IS ";(29);"SUB-"20:2:"TRACTED ";(29);"FROM THE PERFECT CUBE 8X"(25);"6"220,147220,19)R$(64)R$(68)Ģ19:6:(30);"PLEASE ENTER ";(29);"A,B,C, ";(29);"OR ";(30);"D.":I1600:I:0:J4856:231,J279,J:JR$(64)R$(68)Ē0:J144152:1,J279,J:J:7:34:(29);:12000:R$B$:(29):390 R$"C"Ģ18:2:(30);"RIG0824,92Dh8:(29);"DIFFERENCE ";(29);"OF ";(29);"CUBES";(29)[m15:5:(30);"D";|r40,10840,12424,12424,108w8:(29);"SUM ";(29);"OF ";(29);"CUBES";(29)|40,60202,60202,12424,1241007:34:(29);:12000:R$B$:(2<200 @9:5:(30);"A";B E2:24,6040,6040,7624,7624,60` J8:(30);"COMMON FACTOR"w O11:5:(30);"B"; T40,7640,9224,9224,76 Y8:(29);"DIFFERENCE ";(29);"OF ";(29);"SQUARES";(29) ^13:5:(30);"C";c40,9240,10824,11 18:9:(30);"NOW YOU SHOULD DO NOTHING --"e 20:2:"THE BINOMIAL IS IN ITS FACTORED FORM."o "4000y '5000 ,B2 12:3:(30);"WHAT DO YOU THINK...." 65:11:"8X";(25);"3 - 125" ;7:3:(30);"WHAT TYPE OF BINOMIAL IS THIS?" (30);"PLEASE ENTER ";(29);"A,B,C, ";(29);"OR ";(30);"D.":I1600:I:0:J416:182,J279,J:J R$(64)R$(68)Ē0:J144152:1,J279,J:J:2:27:(29);:12000:R$B$:(29):260 R$"D"Ģ18:2:(30);"RIGHT.":280 18:2:(30);"WRONG."5,92- 8:(30);"TAKE OUT A COMMON FACTOR"D 15:5:(30);"D";e 39,10839,12425,12425,108 8:(30);"NOTHING -- IT'S FACTORED" 100 40,60223,60223,12424,124 2:27:(29);:12000:R$B$:(29)b R$(64)R$(68)Ģ19:6:Y - X)" 200& 9:5:(30);"A";- 1P 25,6039,6039,7625,7625,60v 8:(30);"TAKE THE SQUARE ROOTS" 11:5:(30);"B"; 39,7639,9225,9225,76 8:(30);"TAKE THE CUBE ROOTS" 13:5:(30);"C"; 39,9239,10825,1082B ** BI QUIZ 5 (20) **(dD$(4)3n762,0>x36864]D$"BLOAD HGRW A9080 L580"h37024(36860)170Ĺ36860,0:470::0:1:1:100: SETTINGS5000B12:3:(30);"NOW WHAT SHOULD YOU DO?" 5:7:"3 (2Y + X) (2        ժժժժߪտתժ߿߻W25ī12010/B$B$A$0/P1:P1(B$):" ";;/12010V&/(B$)1B$"":12010r0/B$(B$,(B$)1):12010(01000/B$(B$,(B$)1):12010030:VLOC1A#VLOC1:HLOC:BL$;:6030:HLOC:C$7F#A.B$""O.P1(A)1`.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(27)A$(25).A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";: /(A$)32(A$)6030+-#VOLDVOLD1:VOLD:HOLD:C$;:6030k2#HLOCHOLDHNOWST:HLOC:C$;:6030:HLOC:BL$;:6030:HLOC5#ST0HLOCHLOC1:90156#HLOCHLOC17#HLOC:BL$:** BLANK OUT TURNING POINT <#VLOCVOLDVNOW:VLOC:HLOC:C$:6030:VLOC:HLOC:BL$:62$"+"F$:X2$G$H$9O(H$,1)"Y"Y2$G$H$:X2$"+"F$pT(Y1$"+2Y"Y2$"+2Y")(Y1$"-2Y"Y2$"-2Y")ī8030zY8045^(D$"+"G$"-")(D$"-"G$"+")ī8040c8045h(X1$"+X"X2$"-X")(X1$"-X"X2$"+X")A0:mAA1:(#VOLD:HOLD:6384)141Ĺ16368,0:4010+B5050E230,64:62450:100:Z36860,170:5080~5080:(4)"RUN BI QUIZ 3 (18)"(4)"PR#0":I130:I:@(C$,1)"Y"Y1$"+"C$:X1$D$E$E(E$,1)"Y"Y1$D$E$:X1$"+"C$J(F$,1)"Y"Y:30:"...."I+C$"3":ST1:HOLD14:HNOW7:VOLD9:VNOW14:BL$" ":9000S04000w55080:(4)"RUN BI QUIZ 5 (20)"}:16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:4050(1,J279,J:J:518{18:3:(30);"THAT'S RIGHT. ";(30);"DON'T FORGET THE 3":6:234,133234,147248,147248,133234,13318:37:"....":555!22:3:(30);"GREAT. ";(30);"DON'T FORGET THE 3":6:186,165186,179200,179200,165186,165 &2229)}K$"NO"K$"N"Ģ22:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":24:3:(29);"GOOD BYE!";(29):J11000:J::: K$"Y"K$"YES"ī54522:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J152160:119,J279,J:JJ168176:49J:J136144:1,J279,J:J:375hA2Ģ18:3:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOULD BE...."0:J99112:1,J279,J:J14:9:"( 2Y + X ) ( 2Y - X )":X1700:X20:3:(30);"DO YOU SEE NOW?"20:19:(29);:12000:K$B$:(12,J279,J:J0J152160:49,J279,J:J:474m0:J99112:1,J279,J:J:J136144:1,J279,J:J:3750:J136144:1,J279,J:J8000A0ī540A1Ģ18:11:(30);"WRONG. ";(30);"TRY AGAIN.":J1600:J:0:J99112:1,J279,J:185,126:16:27:"^":14:27:12000:H$B$:16:27:" "\18:3:(30);"ARE YOU SURE?"18:17:(29);:12000:Z$B$:(29)Z$"YES"Z$"Y"ī486Z$"NO"Z$"N"ī484 20:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J120128:1$B$:16:22:" "67:171,122171,126:16:25:"^"\14:25:12000:G$B$:16:25:" "tG$"+"G$"-"ī46818:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J99112:168,J196,J:J0:J136144:63,J196,J:J:2:4407:185,122B$(B$,(B$)1):12010B0R18:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J99112:91,J119,J:J{0:J136144:63,J196,J:J:2:3907:108,122108,126:16:16:"^"14:16:12000:E$B$:16:16:" "7:150,122150,126:16:22:"^"14:22:12000:F$:16:11:" "C$"-2Y"C$"-X"Ģ19:2:(30);"PLEASE MAKE THE FIRST NUMBER POSITIVE.":I1600:I:0:H99112:63,H91,H:H:J144152:1,J279,J:J:3807:94,12294,126:16:14:"^"14:14:12000:D$B$:16:14:" "D$"+"D$"-"ī423:(30);"NOW PUT THE SQUARE ROOTS IN THEIR"[r4:3:"PROPER SPOTS IN THE PARENTHESES:"w7:14:9:"(";:66,11484,114:102,114120,114:19:")(";:144,114162,114:180,114198,114:30:")"|7:73,12273,126:16:11:"^"14:11:12000:C$B"F$"Y"Ģ21:17:(30);"GREAT!!":360|f21:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J144152:119,J279,J:JgJ160168:49,J279,J:J:353h4000j0:1,98279,98kJ816:1,J279,J:J:F112191:1,F279,F:F:2-m100:2:Y";:19:"2Y";:22:"X";:25:"X":J1700:JQ^19:2:(30);"DO YOU SEE NOW?"ya19:18:(29);:12000:F$B$:(29)cF$"NO"F$"N"Ģ21:2:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":23:2:(29);"GOOD BYE!";(29):J11000:J:::&dF$"YES30);"TRY AGAIN.":J1600:J:0:J8396:98,J279,J:J:J120128:1,J279,J:J:T1:198z J0:J120128:1,J279,J:J O16:2:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOULD BE...." T0:J8396:98,J279,J:J:2:120,92:162,92-Y12:15:"279,J:J:250- ,0:J120128:14,J279,J:JN 1I8396:98,I279,I:I:198 6T1(R$"2Y"Q$"2Y"S$"X"T$"X")ī330 ;R$"2Y"Q$"2Y"S$"X"T$"X"Ģ20:17:(30);"RIGHT!":360 >0:J120128:1,J279,J:JZ @16:11:(30);"WRONG. ";(000:T$B$:14:25:" "8 16:3:(30);"ARE YOU SURE?"` 16:17:(29);:12000:Z$B$:(29)z Z$"YES"Z$"Y"ī310 Z$"NO"Z$"N"ī300 19:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J120128:112,J279,J:J J144152:49,J210:14:15:"^"5 12:15:12000:R$B$:14:15:" "Z 7:129,106129,110:14:19:"^" 12:19:12000:Q$B$:14:19:" " 7:150,106150,110:14:22:"^" 12:22:12000:S$B$:14:22:" " 7:171,106171,110:14:25:"^" 12:25:12Y";(25);"2 - 3X";(25);"2"J 9:11:"= 3 (4Y";(25);"2 - X"(25);"2)"g 2:104,86119,74132,86 150,86162,74174,86 7:96,98112,98:120,92:124,98138,98:146,98154,98:162,92:166,98176,98 2:120,92:162,92 7:101,106101,1s ** BI QUIZ 4 (19) **(dD$(4)3n762,0>x36864]D$"BLOAD HGRW A9080 L580"h37024(36860)170Ĺ36860,0::0:1:2:100:T0:A0:SETTINGS5000B12:3:(30);"NOW TYPE IN THOSE SQUARE ROOTS:" 7:16:"12       :255-".P1:P1:(B$)):P1:P1:B$;" ";5".A$L".A$(27)A$(25)`".A$(8)ī12070".A$(13)ĩ100:P1:P11:P1(B$):" ";:"/(A$)32(A$)25ī12010"/B$B$A$"/P1:P1(B$):" ";"/12010"&/(B$)1B$"":12010#0/::" TO CONTINUE":100:!(16384)194Ĺ16368,0:4050Y!(16384)141Ĺ16368,0:c!4010s!B5050,160!230,64:62450:100:!36860,170:5080!(4)"RUN BI QUIZ 5 (20)"!(4)"PR#0":!.B$"":16368,0!.P1(A)1".P(37):(4)"RUN TRICOMFAC (22)"# 765| (222)8Ē0:J48120:1,J279,J:J:10:4:(30);"THE DISK HAS BOOTED IMPROPERLY." 12:2:(30);"PLEASE SEE A LAB ASSISSTANT FOR HELP." !16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29); ";/12010)&/(B$)1B$"":12010E0/B$(B$,(B$)1):120100z#   ɠڠ îàϠ!Ϡ ɠڠ ɠڨ! נ̵ɠڠ ɠڱ!ɠڲ"ɠڲ ɠڠɠڠ ΠŠӠΠ ӠϠƠDzڠڱ dzǴ CONTINUE":1002(16384)194Ĺ16368,0:4050Q(16384)141Ĺ16368,0:[4010kB5050,160w:::36860,170:5080(4);"RUN BI QUIZ1 (15)"(4);"PR#0":.B$"".P1(A)1.P(37):255.P1:P1:(B$)1):29):20:3:"TAKE THE CUBE ROOT OF EACH TERM.":22:3:(30);"SO ";(30);"B";5:37,16453,16453,18037,18037,164:10:"IS CORRECT."4000(4)"RUN BI QUIZ2A (17)"255:16368,0:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO. ";(29);"SER-8103997."2 D$"RUN POLYDEF 1,D1");"SAFOUTIN AND ";(30);"ELLEN ";(30);"SCARBROUGH" 15:1:"AT ";(30);"CARL ";(30);"ALBERT ";(30);"JUNIOR ";(30);"COLLEGE," 17:1:"UNDER THE AID OF ";(30);"NATIONAL ";(30);"SCIENCE " 19:1:(30);"FOUNDATION ";(30);"GRANT ";(30);"NOS"8 3:1:(29);"IS A PROGRAM DESIGNED TO TEACH THE"j 5:1:"FACTORING OF POLYNOMIAL EXPRESSIONS," 7:1:"AND WAS ORIGINATED BY ";(29);"J.C. H";(29);"OLTON." 11:1:(30);"IT WAS WRITTEN AND PROGRAMMED BY"3 13:1:(30);"MIKE ";(304  HELLO 36864#762,0PnD$(4):D$;"BLOAD PIC.CAJC LOGO,A$2000"rx16297,0:16302,0:16304,016368,0I12000:ID$;"BLOAD HGRW A9080 L580"37024 1:1:(30);"WELCOME TO ";(29);"POLYNOMIALS. POLYNOMIALתߪժ߿߾׿תժ߿߯ߪݿתߪպժߪտժծժժժ׿תժ߿߻Wߪתߪպժߪտߪ4  HELLO 36864#762,0PnD$(4):D$;"BLOAD PIC.CAJC LOGO,A$2000"rx16297,0:16302,0:16304,016368,0I12000:ID$;"BLOAD HGRW A9080 L580"37024 1:1:(30);"WELCOME TO ";(29);"POLYNOMIALS. POLYNOMIAL9):X1500:X.0:X4872:126,X161,X:XF7:20:"3 3":7000op6:1:(29);"LET'S FACTOR 9.";(29)2:158,47163,41170,477:22:"?";:12000:E(B$):22:7:" "7:24:"?";:12000:F(B$):24:7:" "E3F3İ7000#9::X4872:147,X182,X:X17:23:"3 2":7000Z6:1:(29);"LET'S FACTOR 9.";(29)w2:137,47142,41149,477:19:"?";:12000:C(B$):19:7:" "7:21:"?";:12000:D(B$):21:7:" "C3D3İ70009:19:(29);"WRONG";(2 3":700026:1:(29);"LET'S FACTOR 6.";(29)O2:158,47163,41170,47{7:22:"?";:12000:E(B$):22:7:" "7:24:"?";:12000:F(B$):24:7:" "E3F2İ7000E2F3İ70009:22:(29);"WRONG";(29):X1500:X0 6.";(29)' 2:137,47142,41149,47S 7:19:"?";:12000:C(B$):7:19:" " 7:21:"?";:12000:D(B$):21:7:" " C3D2İ7000 C2D3İ7000 9:19:(29);"WRONG";(29):X1500:X& 0:X4872:126,X161,X:X 0 7:20:"2W 16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"z (16384)194Ĺ16368,0:2050 (16384)141Ĺ16368,0: 2020 36860,170:2080 (4)"RUN PROG3 5" (4)"PR#0":  6:1:(29);"LET'S FACTOR$):23:" "? Y0:X18:1,X279,X:X:X72176:1,X279,X:XR ^A6B3İ3000e hA3B6İ4000x rA9B2İ5000 |A2B9İ6000 7:21:(29);"WRONG";(29):X1500:X 0:X3256:140,X175,X:X 5:21:"2 9":6000 I1400::? ";:12000:A$B$n A$"18"Ģ21:3:(29);"WRONG. ";(29);"18 IS THE FACTOR THAT IS NOT":22:5:"PRIME." 4:1:(29);"LET'S FACTOR 18.";(29):2:154,24147,32:154,24161,32 ,20:5:"?";:12000:A(B$):20:" " J5:23:"?";:12000:B(B(30);"ENTER YES OR NO":X1500:X:0:P88110:77,P252,P:P:100:205} 14:17:A$"YES"ĺ(29);"RIGHT!!!";(29):250 (29);"WRONG";(29) 16:3:(30);"THERE IS A FACTOR THAT IS NOT PRIME." 19:3:(30);"WHICH ONE (18 OR X";(25);"2)1500:I:p:::100:7XD$(4):D$:D$;"PR#0":X(#B150,150,300,600,1205,1390' 8,21,8,31,12,21,12,31,16,21,16,31,8,21,8,31,12,21,12,31,16,21,16,31 24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"d(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4020B150,150,300,600,1205,1390V,H:V:H:I11000:I:I1300:I:I1500:I: I13,140219,140219,1495060e"213,132251,132251,140235,140235,149:241,140269,140269,149u'5090:5090640007000:D$;"RUN PROG2 2" 21:8:(30);"PRESS ANY KEY TO CONTINUE":16368,0:Z$::16368,0A255:49 5060J45,13285,13285,14075,14075,149:85,14093,14093,149T5060u 17:18:(29);"TERMS";(29) 5070155,132177,132177,136165,136165,149:177,136191,136191,1495060177,132213,132213,140207,140207,149:21OR"614:4:"A PRODUCT OR QUOTIENT OF NUMBERS AND"O15:4:"VARIABLES:"Y506019:6:"XYZ + 3A";:25:"3A";(25);"2 + B + (-4)"507017:1:(29);"TERMS";(29)507037,13245,13245,14033,14033,149:45,14057,14057,1"2). ";(29);"BINOMIALS (";(29);"TWO TERMS)"j10:8:"3). ";(29);"TRINOMIALS (";(29);"THREE TERMS)"11:3:"AND";(29)11:8:"4). MULTINOMIALS (";(29);"MORE THAN 3).5060:506013:2:(30);"A TERM IS ONE NUMBER, ONE VARIABLE, INTO FOUR";3:4:"DIFFERENT GROUPS, DEPENDING ON THE"]4:4:"NUMBER OF TERMS THEY"q4:25:"HAVE."6:2:(30);"THEY ARE..."143,51269,51269,9243,9243,518:8:"1). ";(29);"MONOMIALS (";(29);"ONE TERM)"-9:8:(29);"RETURN";::(29);" TO CONTINUE ON."y19:5:(30);"DO NOT PRESS ";::(29);"RESET";::(29);" OR YOU WILL"20:5:"HAVE TO"(20:13:"RUN THE PROGRAM AGAIN.":5070Z4000n6000:B5 x2:2:(30);"POLYNOMIALS CAN BE DIVIDED":: TURN GRAPHIC WRITER OFFdT(16384)141Ĺ16368,0:"4020:B5050,162,540,950z230,32:62450:230,64:62450:100:: CLEAR HI-RES SCREENS36860,170:6000D$;"RUN POLYDEF 1"pD$(4):D$:D$;"PR#0":: TURN GRAPHIC WRITER OFFdC WRITER OFFdD$:D$;"PR#051,161151,154:151,161189,161189,154:200074000R6000:D$;"RUN QUIZ 3"XjI1300:I:| I1450:I:16368,0255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16384,0:4040:11:"4X + 3Y + 5XY + 6Z"*e5: ORANGEQj67,14467,15487,15487,144:2000|t103,144103,154121,154121,144:2000~137,144137,154163,154163,144:2000179,144179,154197,154197,144:2000-77,15477,161113,161113,154:113,1611268,12286,12286,112:2000G8102,112102,122120,122120,112:2000rB138,112138,122156,122156,112:2000L172,112172,122190,122190,112:2000V78,12278,129112,129112,122:112,129148,129148,122:148,129182,129182,122:2000`19159,40159,50177,50177,40:2000`105,50105,57137,57137,50:137,57169,57169,50:200011:3:"....AND A ";(29);"MULTINOMIAL";(29);" HAS MORE THAN"13:3:"THREE, AS IN:":2000$15:11:"3X + 2Z + 4X + 3Z")6: BLUE.68,115000: CLEARS SCREENS 'B3e2:3:(29);"A TRINOMIAL,";(29);" OF COURSE, HAS THREE"4:6:"TERMS, LIKE THIS...."6:15:"3Y + Z + 7X"1: GREEN95,4095,50115,50115,40:2000131,40131,50143,50143,40:2000#,112:20005165,112165,122179,122179,112:2000`129,122129,130171,130171,122:2000219,104219,130243,130243,104:2000255,104255,130279,130279,104:2000231,130231,135267,135267,130:20004000 SCREEN4 3: WHITEv224,116238,116/15:36:"+"D260,116274,116[16:33:"16 16"j1: GREEN11,11211,12231,12231,112:200045,11245,12267,12267,112:200021,12221,13057,13057,122:2000 109,112109,122149,122149S A POLYNOMIAL THAT IS"G :4:6:"MADE UP OF TWO TERMS AND ONLY TWO."} D6:6:(30);"IT EXPRESSES THE SUM OR DIFFERENCE" N8:6:"OF TWO TERMS...." X11:6:"....LIKE THESE:" b15:3:"14 + 32 OR 34XYZ + 9 OR" l14:33:"3X 15" q6,101:160,115186,115186,101:2500? T160,133250,133:2500 Y250,133250,122234,122234,96:250,122264,122264,96:2500 ^4000 h SCREEN2 r5000: CLEARS SCREENS 5000 CLEARS HI-RES &B2 02:3:(29);"A BINOMIAL";(29);" I18:"POLYNOMIAL HAVING"= "19:14:"ONLY ONE TERM":2000M '2: VIOLET ,128,152128,142194,142194,152:2500:160,142160,125 6158,12574,125:2500 @74,12574,11552,11552,104:74,11594,11594,104:2500$ J160,125160,115136,11513." 10:6:"....LIKE THESE:": 14:9:"472XY":2000R 14:16:"OR":2000 14:21:"3X";(25);"2Y";(25);"3Z":2000 14:30:"OR":2000 13:35:"3XY" 3: WHITE 239,108259,108 15:36:"5" 17:"....OR ANY OTHER"  SCREENS B1N 2:3:(29);"A MONOMIAL";(29);" IS ANY POLYNOMIAL THAT"n 3:6:"HAS ONLY ONE TERM." 3:25:(30);"YOU CAN EASILY" 4:6:"RECOGNIZE ONE BY NOTICING THAT" 5:6:"IT DOES NOT EXPRESS A SUM OR A" 6:6:"DIFFERENCE  ** PROG2 2 **-d36864: SET MEMORYBn762,0: POINTERWxD$(4): CTRL/DD$"BLOAD HGRW A9080 L580": LOAD GRAPHIC WRITER37024: TURN WRITER ON::100: SETTINGS(36860)170Ĺ36860,0:950 SCREEN1 5000: CLEAR     "THE SECOND TERM IS 6Z ."$4000@"5070:D$;"RUN QUIZ1 4"F,X I1300:I:j( I1450:I:| I1600:I:16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16384,0:4040(16217,X:Xx1320I17:8:(30);"YES, THERE IS. ";(30);"THESE TWO"p18:8:"TERMS, IN THIS CASE, ARE"19:8:"ADDED TOGETHER.":25004000T100:VT19:1000015:5:"3) ";:2500:(30);"THE FIRST TERM IS 45X AND"16:8:ANY ADDITION OR"*15:8:"SUBTRACTION"@15:20:"IN IT?"h(15:27:(29);:12000:A$B$:(29)2A$"YES"A$"NO"ī1410< ELSEF100:20:9:(30);"PLEASE ENTER YES OR NO.":2500P0:X112128:175,X279,X:X Z0:X152168:56,X2,X279,X:X-t0:X136152:56,X217,X:X71080_17:15:(30);"IT DOESN'T VIOLATE"18:8:"ANY OF THE RULES WE HAVE"19:8:"DISCUSSED, SO IT MUST BE.":26004000T100:VT19:10000 14:5:"2) ";:2500:(30);"IS THERE "1) ";:2500:(30);"IS IT A POLYNOMIAL?"Q814:28:(29);:12000:R$B$:(29)}B17:8:R$"YES"ĺ(30);"RIGHT.";:1180L17:8:R$"NO"ĺ(30);"WRONG.";:1180V ELSE`100:18:9:(30);"PLEASE ENTER YES OR NO.":2500 j0:X104120:18"WRONG";(29):2600:1050$ ELSE[100:17:9:(30);"PLEASE ENTER YES OR NO.":2500{0:X3248:182,X279,X:X0:X128144:56,X217,X:X9500:X120128:105,X161,X:X$12:3:(30);"LET'S ANALYZE IT.":2600).14:5:S SCREENSB2@2:3:(30);"WHAT DO YOU THINK....":2500]8:16:"45X + 6Z":25005:8:(30);"IS THIS A BINOMIAL?"5:28:(29);:12000:Q$B$:(29)Q$"YES"Ģ16:16:(29);"RIGHT!";(29):2600:1050Q$"NO"Ģ16:16:(29);SE."25004000/T120:VT21:10000qR17:5:"3) ";:2500:(30);"SINCE THIS IS JUST A COLLECTION"\18:8:"OF FACTORS MULTIPLIED OR DIVIDED"f19:8:"TOGETHER, IT IS A MONOMIAL.":2500p4000z SCREEN2 5000: CLEAR HI-RE(29)!A$"YES"A$"NO"ī730, ELSEc100:20:9:(30);"PLEASE ENTER YES OR NO.":25000:X128144:238,X279,X:X0:X152168:56,X217,X:X64019:5:(30);"NOTHING IS ADDED OR SUBTRACTED"20:5:"FROM ANYTHING EL"ANY OF THE RULES WE HAVE"I 20:8:"DISCUSSED, SO IT MUST BE.":2600S 4000j T120:VT20:10000 b16:5:"2) ";:2500:(30);"IS THERE ANY ADDITION OR" l17:8:"SUBTRACTION" v17:20:"IN IT? (YES/NO)"17:36:(29);:12000:A$B$:ĺ(30);"RIGHT.":500> 18:8:R$"NO"ĺ(30);"WRONG.":500I  ELSE 100:19:9:(30);"PLEASE ENTER YES OR NO.":2500 0:X120136:245,X279,X:X 0:X144160:56,X217,X:X 400 18:15:(30);"IT DOESN'T VIOLATE" 19:8:9,X279,X:X- J0:X128144:56,X217,X:X6 h270X r0:X128136:105,X147,X:X |14:3:(30);"LET'S ANALYZE IT.":2600 16:5:"1) ";:2500:(30);"IS IT A POLYNOMIAL? (YES/NO)" 16:37:(29);:12000:R$B$:(29) 18:8:R$"YES";"RETURN";::(29);")"> 5:29:(29);:12000:Q$B$:(29)u Q$"YES"Ģ17:16:(29);"RIGHT!";(29):2600:370 "Q$"NO"Ģ17:16:(29);"WRONG";(29):2600:370 , ELSE 6100:17:9:(30);"PLEASE ENTER YES OR NO.":2500 @0:X3246:18EAR HI-RES SCREENS B1I 2:3:(30);"WHAT DO YOU THINK...":2500l 10:13:"3X";(25);"2YZ3AB3Z" 7:84,84154,84:0 12:17:"17":2500 5:9:(30);"IS THIS A MONOMIAL?" 7:3:"(";(30);"ANSWER YES OR NO AND PRESS ";::(29)d *** QUIZ 3 ***.n36864: SET MEMORYCx762,0: POINTERXD$(4): CTRL/DD$"BLOAD HGRW A9080 L580": LOAD GRAPHIC WRITER37024: TURN WRITER ON:::100: SETTINGS(36860)170Ĺ36860,0:900 SCREEN1 5000: CL     ! THEM RIGHT.":305? TT1:T2āJ120176:1,J270,J:J:290 C1$"3Y"C2$"4"Ģ20:3:(30);"YOU JUST GOT THE FIRST ONE RIGHT.":22:3:(30);"TRY AGAIN." C1$"3Y"C2$"4"Ģ20:3:(30);"YOU JUST GOT THE SECOND ONE RIGHT.":22:3:(30);"TRY1 S$"NO"S$"N"āJ50150:14,J250,J:J:190 20:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J130144:112,J279,J:J:J152160:1,J279,J:J:235 C1$"3Y"C2$"4"āJ152176:1,J270,J:J:20:3:(30);"EXCELLENT. ";(30);"YOU GOT. ";(29);"SER-8103997."2 D$"RUN POLYDEF 1,D1");"SAFOUTIN AND ";(30);"ELLEN ";(30);"SCARBROUGH" 15:1:"AT ";(30);"CARL ";(30);"ALBERT ";(30);"JUNIOR ";(30);"COLLEGE," 17:1:"UNDER THE AID OF ";(30);"NATIONAL ";(30);"SCIENCE " 19:1:(30);"FOUNDATION ";(30);"GRANT ";(30);"NOS"8 3:1:(29);"IS A PROGRAM DESIGNED TO TEACH THE"j 5:1:"FACTORING OF POLYNOMIAL EXPRESSIONS," 7:1:"AND WAS ORIGINATED BY ";(29);"J.C. H";(29);"OLTON." 11:1:(30);"IT WAS WRITTEN AND PROGRAMMED BY"3 13:1:(30);"MIKE ";(30SS ";::(29);"RETURN";(29);::" TO CONTINUE"9z100\(16384)194Ĺ16368,0:6050{(16384)141Ĺ16368,0:6020B6060,1505050:(4)"RUN QUIZ 3"%X100191:1,X279,X:X:&%I1300:I:'0!'XTVT81:1,X276000: PRESS RETURN05060:D$;"RUN PROG3 5"6H I1300:I:Z( I1450:I:l I1600:I:230,32:62450:230,64:62450:100:36860,170D$(4):D$:D$;"PR#0":: TURN GRAPHIC WRITER OFF0p16368,0:255:24:9:(30)"PRE725 ELSE@19:9:(30);"PLEASE ENTER YES OR NO.":2500_X104120:175,X279,X:X}X144160:56,X217,X:X67516:15:(30);"NOW IT IS A"17:8:"TRINOMIAL WITH THREE"18:8:"TERMS: 2X, -4ZY, AND 5A";(25);"2."19:8:"WE HAVE DISCUSSED.":2600<q6000: PRESS RETURNSvT100:VT19:1000014:5:"3) ";:2500:(30);"IS IT A TRINOMIAL?"14:27:(29);:12000:R$B$:(29)R$"YES"Ģ16:8:(30);"RIGHT.":725R$"NO"Ģ16:8:(30);"WRONG.":) ?Q$"NO"Ģ17:8:(30);"WRONG.":6104 D ELSEk I100:19:9:(30);"PLEASE ENTER YES OR NO.":2500 NX104120:210,X279,X:X XX144160:56,X217,X:X ]565 b17:15:(30);"NOW IT DOESN'T" g18:8:"VIOLATE ANY OF THE RULES"#l19:8:"EXPONENTS.":2500$ 6000; T100:VT19:10000X X4860:161,X175,X:Xt &8:24:(25);"2":2700 014:5:"2) ";:2500:(30);"NOW IS IT A POLYNOMIAL?" 514:32:(29);:12000:Q$B$:(29) :Q$"YES"Ģ17:8:(30);"RIGHT.":610);"RIGHT.":4309 hR$"YES"Ģ17:8:(30);"WRONG.":430p r100:19:9:(30);"PLEASE ENTER YES OR NO.":2500 |X104120:182,X279,X:X X144160:56,X217,X:X 340 17:15:(30);"A POLYNOMIAL" 18:8:"CONTAINS NO NEGATIVE" 48:175,X279,X:X1 X128144:56,X217,X:X: ,220\ 60:X120128:105,X168,X:X @12:3:(30);"LET'S ANALYZE IT.":2500 J14:5:"1) ";:2500:(30);"IS IT A POLYNOMIAL?" T14:28:(29);:12000:R$B$:(29) ^R$"NO"Ģ17:8:(300) 5:6:(30);"IS THIS A TRINOMIAL?"P 5:27:(29);:12000:Q$B$:(29) Q$"NO"Ģ16:16:(29);"RIGHT!";(29):2600:310 Q$"YES"Ģ16:16:(29);"WRONG";(29):2600:310 100:17:9:(30);"PLEASE ENTER YES OR NO.":2500 0:X32F  *** QUIZ1 4 ***"d36864-n762,09xD$(4)XD$"BLOAD HGRW A9080 L580"c37024p::100(36860)170Ĺ36860,05000B12:3:(30);"WHAT DO YOU THINK...":2500 8:11:"2X - 4ZY + 5A";(25);"-";(25);"2":250     ":26:"2";(25);"2";(25);".3";(25);"3X";(25);"2Y";(25);"3"W2010: PRESS RETURNt2080:(4)"RUN PROG4 6"z$I1400::16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:4)"PR#0":$ 230,64:62450:100:D);"SO 108X";(25);"2Y";(25);"3"x16:5:"IS COMPLETELY FACTORED WHEN IT IS"18:5:"EXPRESSED AS.... 2";(25);".2";(25);".3";(25);".3";(25);".3";(25);".X";(25);"2Y";(25);"3"20:29:"OR">22S ";::(29);"RETURN";(29);::" TO CONTINUE"R(16384)194Ĺ16368,0:2050q(16384)141Ĺ16368,0:{2020B2060,170,330,690 36860,170:2080(4)"RUN QUIZ1 4" (4)"PR#0": 230,64:62450:100:D QUIZ1 4"  ((25);".3";(25);".3";(25);".X";(25);"2Y";(25);"3"F20:29:"OR"22:26:"2";(25);"2";(25);".3";(25);"3X";(25);"2Y";(25);"3"2010: PRESS RETURN2080:(4)"RUN PROG4 6"$I1400::/16368,0:255:24:9:(30);"PRES1,78:140,73149,78'11:19:"3 9"I151,89144,93:151,89158,93\13:21:"3 3"e10014:3:(30);"SO 108X";(25);"2Y";(25);"3"16:5:"IS COMPLETELY FACTORED WHEN IT IS"418:5:"EXPRESSED AS.... 2";(25);".2";(25);".3";1:3:(30);"ANOTHER EXAMPLE OF A COMPLETELY"Uz3:5:"FACTORED MONOMIAL IS...."}5:16:"108X";(25);"2Y";(25);"3"25116,41106,46:116,41126,467:15:"2 54"126,56116,63:126,56136,639:17:"2 27"140,7313FACTORED WHEN IT IS"d417:5:"EXPRESSED AS.... 2";(25);".2";(25);".3";(25);".3X";(25);"2YZ"v>19:27:"OR"H21:24:"2";(25);"2";(25);".3";(25);"2X";(25);"2YZ"R2010: PRESS RETURN\ SCREEN5f3000: CLEAR SCREENSkB4/p25);"2YZ"2562:119,56112,64:119,56126,64I9:16:"2 18"k126,72119,80:126,72133,8011:17:"2 9" 137,88130,95:137,88144,9513:19:"3 3"100 13:3:(30);"SO 36X";(25);"2YZ"*15:5:"IS COMPLETELY (X+Y)";:19:"= AX + AY."12010:PRESS RETURN@ SCREEN3Z3000: CLEAR SCREENSbB31:3:(29);"MONOMIALS";(29);" ARE FACTORED BY SIMPLY"3:5:"EXPRESSING THEM AS A PRODUCT OF"5:5:"PRIME FACTORS...." 7:17:"36X";(150,126150,138136,138136,126U 17:21:"A";:24:"TIMES";:31:"X+Y";:35:"." 206,125234,126234,138206,138206,126 19:3:(30);"BOTH ARE PRIME. ";(30);"WHEN MULTIPLIED BACK," 66,157116,157116,17066,17066,15721:11:"AYNOMIALS."A r7:5:(30);"WHEN MULTIPLIED BACK TOGETHER, THEY"m |9:5:"EQUAL THE ORIGINAL POLYNOMIAL." 11:3:(30);"FOR EXAMPLE...." 116,94172,94172,106116,106116,94 13:18:"AX + AY" 15:3:"IS THE SAME AS...." 136,126 100. "17:25:(29);"NOT PRIME";(29)G ,2010: PRESS RETURNU @ SCREEN2o J3000: CLEAR SCREENSw OB2 T1:14:(29);"FACTORING";(29) ^3:3:(29);"A FACTORED POLYNOMIAL";(29);" IS WRITTEN AS" h5:5:"THE PRODUCT OF PRIME POLE IT CAN ONLY BE DIVIDED"G 11:5:"EVENLY BY THE NUMBERS 13 AND 1."} 13:5:(30);"BUT 6 IS NOT PRIME BECAUSE IT CAN" 15:5:"BE EXPRESSED AS 3 TIMES 2." 25 17:20:"6" 137,137119,152:137,137154,151 20:17:"2";:23:"3"3000: CLEAR SCREENS! B1:100a 1:3:(29);"A PRIME NUMBER ";(29);"IS A NATURAL NUMBER," 3:5:"GREATER THAN ONE, WHICH IS ONLY" 5:5:"DIVISIBLE BY ITSELF AND ONE." 7:3:(30);"FOR EXAMPLE, 13 IS A PRIME NUMBER" 9:5:"BECAUS  ** PROG3 5 **-_D$(4): CTRL/D Bd762,0: POINTERZn36864: SET MEMORYxD$"BLOAD HGRW A9080 L580":LOAD GRAPHIC WRITER37024: TURN WRITER ON(36860)170Ĺ36860,0:870::100:2:0:1: SETTINGS SCREEN 1      :(29);"LET'S FACTOR 9.";(29)<2:158,47163,41170,47G6050y7:22:"?";:12000:E(B$):22:7:" ":6060(222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:154,B196,B:B:P7280:28,P245,P:P:6040(222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:147,B168,B:B:P7280:28,P245,P:P:5070C3D3İ70009:19:(29);"WRONG";(29):X1500:X0:X4872:126,X161,X:X7:20:"3 3":7000p6:1505067:19:"?";:12000:C(B$):19:7:" ":5060(222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:133,B161,B:B:P7280:28,P245,P:P:504050807:21:"?";:12000:D(B$):21:7:" ":5090,B203,B:B:P7280:28,P245,P:P:4070<E3F2İ7000OE2F3İ7000{9:22:(29);"WRONG";(29):X1500:X0:X4872:147,X182,X:X7:23:"3 2":70006:1:(29);"LET'S FACTOR 9.";(29)2:137,47142,41149,47YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:154,B196,B:B:P7280:28,P245,P:P:4040q40807:24:"?";:12000:F(B$):24:7:" ":4090)(222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:168:19:(29);"WRONG";(29):X1500:XE& 0:X4872:126,X161,X:X]0 7:20:"2 3":70006:1:(29);"LET'S FACTOR 6.";(29)2:158,47163,41170,4740507:22:"?";:12000:E(B$):22:7:" ":4060f(222)254Ģ10:5:(30);"P245,P:P:3040 3080M 7:21:"?";:12000:D(B$):21:7:" ":3090 (222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:147,B168,B:B:P7280:28,P245,P:P:3070 C3D2İ7000 C2D3İ7000% 9PR#0":0 6:1:(29);"LET'S FACTOR 6.";(29)M 2:137,47142,41149,47X 3050 7:19:"?";:12000:C(B$):7:19:" ":3060 (222)254Ģ10:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B4860:133,B161,B:B:P7280:28,5:21:"2 9":6000'I1400::}16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:2050(16384)141Ĺ16368,0:202036860,170:2080(4)"RUN PROG3 5" (4)"244:161,B196,B:B:P5664:28,P245,P:P:330e Y0:X18:1,X279,X:X:X72176:1,X279,X:Xx ^A6B3İ3000 hA3B6İ4000 rA9B2İ5000 |A2B9İ6000 7:21:(29);"WRONG";(29):X1500:X 0:X3256:140,X175,X:X4Ģ8:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B3244:140,B182,B:B:P5664:28,P245,P:P:300 @340 J5:23:"?";:12000:B(B$):23:" ":3451 T(222)254Ģ8:5:(30);"YOU MUST ENTER JUST THE NUMBER.":X1500:X:0:B3? ";:12000:A$B$n A$"18"Ģ21:3:(29);"WRONG. ";(29);"18 IS THE FACTOR THAT IS NOT":22:5:"PRIME." 4:1:(29);"LET'S FACTOR 18.";(29):2:154,24147,32:154,24161,32 "310 ,20:5:"?";:12000:A(B$):20:" ":320u 6(222)25/(B$)1B$"":1201030/B$(B$,(B$)1):12010D"".P1(A)1!.P(37):255I.P1:P1:(B$)):P1:P1:B$;" ";Q.A$h.A$(27)A$(25)|.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32(A$)25ī12010/B$B$A$/P1:P1(B$):" ";/12010&v16:26:"OR"A18:24:"2";(25);".3";(25);"2X";(25);"2"K2010n2080:(4)"RUN COMBINATION 7"t@(#230,64:62450:100:: CLEAR SCREENS AND SET SPEED '0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:.16368,0:B$22:(29);"WRONG";(29):X1500:XC0:X4872:147,X182,X:X[7:23:"3 3":7000X10:3:(30);"SO 18X";(25);"2Y"b12:5:"IS COMPLETELY FACTORED WHEN IT IS"l14:5:"EXPRESSED AS.... 2";(25);".3";(25);".3";(25);".X";(25);"2" BY 16 ."41:193,85213,85213,99193,99193,85>6000Y12:34:(30);"AFTER"14:5:"WE FACTOR (DIVIDE) IT OUT...."60107:12:"(";:23:")":6010200V7:H13:NH8:C$"16":BL$" ":80007:13:" ";:6030:13:":600085000-B::: CLEAR SCREENS :LB4:100DV7000N`6000wj3:2:(29);"EXAMPLE 3(";(29);"A)"t7:13:"96X + 16X";(153);"2"~600010:2:(30);"BY OBSERVATION WE SEE THAT BOTH TERMS" 12:5:"ARE EVENLY DIVISIBLE7:17:" ";:6030:17:"4"&802006000c20:4:"....AND FINALLY WE HAVE THIS PRODUCT"22:4:"OF TWO ";::(29);"PRIME";(29);::" FACTORS."255:7:I813:I:" ";:I$7:10:"2X(1")7:I2021:I:" ";:I.7:19:")"(30);"WE CAN"e18:4:"STILL DIVIDE OUT A 2 ";:157,133171,133171,147157,147157,133:"...."o6000V7:H12:NH8:C$"2":BL$" ":80007:12:" ";:6030:12:"1"80206000H17:8000: OTHER DECLARATIONS STAY THE SAME13:NH9:C$"X":BL$" ":8000-H7:13:" "7R8020A\6010hfV7:H18:NH9:C$"X":BL$" ":8000p7:19:(153);" "z8020600016:2:(30);"NOW WE ARE LEFT WITH 2 - 8X . ";:1:157,115207,115207,131157,131157,1156010:153);"2"6000v10:2:(30);"FIRST, WE SEE THAT X ";:6:142,68158,68158,84142,84142,68:" IS COMMON TO" 12:4:"BOTH TERMS. ";(30);"DIVIDE IT OUT FROM EACH"14:4:"TERM...." 6010*7:11:"(";:20:")"46010>V7:H00v16:3:(30);"WE HAVE THE FACTORED FORM."9255V19:I1119:I:" ";:Il19:14:"A(X + "u10060005000::100:B37000: PRINT HEADING60003:2:(29);"EXAMPLE 2"7:12:(29);"2X - 8X";(6000 15:3:(30);"AND"[15:7:"TAKING THE COMMON ";::"A";::" OUTSIDE...."e6000&V19:H14:NH11:C$"A":BL$" ":8000019:14:" ":8020D6010NV19:H19:NH11:C$"A":BL$" ":8000X19:19:" "b8020l6018:26:", THE VARIABLE"X10:3::"A";::" IS THE LARGEST FACTOR COMMON TO BOTH"s12:3:"AX AND AY."}602019:14:"AX + AY"600014:3:(30);"BY PUTTING AX + AY IN PARENTHESES...."601019:13:"(";:21:")"N FACTOR IS THE LAR-"A r4:4:"GEST QUANTITY THAT WILL DIVIDE"p |5:4:"EVENLY INTO ALL OF THE TERMS OF A" 6:4:"GIVEN" 6:10:"POLYNOMIAL." 6000 8:2:(30);"IN THE BINOMIAL AX + AY" 1:115,54171,54171,66115,66115,549);".":6020E ,21:1:(30);"IF NONE OF THESE ARE TRUE, THEN IT'S"c /22:1:"FACTORED.":6020m 15000w 6:: @B2 J255:1:5:(29);"1). GREATEST COMMON FACTORS";(29):100 T5:28,11215,11 ^6000 h3:2:(30);"A GREATEST COMMO";(30);"OR THE ";::(29);"DIFFERENCE";::(29);" BETWEEN TWO"~ 17:6:"PERFECT ";::(29);"CUBES";::(29);";":6020 8,140272,140:6020 "19:3:"4) ";(30);"OR THE ";::(29);"SUM";::(29);" OF TWO PERFECT ";::(29);"CUBES";::(20:6:"FACTOR;":6020, 8,84272,84:6020` 12:3:"2) ";(30);"OR IF THE BINOMIAL IS THE" 13:6::(29);"DIFFERENCE";::(29);" OF TWO PERFECT ";::(29);"SQUARED";(29);: 14:6:"TERMS;":6020 8,116272,116:6020A 16:3:"3) IN FACTORING A";(29);" BINOMIAL,";(29);" THERE ARE"` 4:5:"FOUR POINTS YOU SHOULD CHECK," 6:5:"MOST EASILY IN THIS ORDER:":6020 6: BLUE 8,60272,60272,1568,1568,60 9:3:"1) ";(30);"SEE IF IT HAS A GREATEST COMMON" 1 ** COMBINATION 7 **3d36864: SET MEMORYHn762,0: POINTER]xD$(4): CTRL/DD$"BLOAD HGRW A9080 L580": LOAD GRAPHIC WRITER37024: TURN WRITER ON::100:B1: SETTINGS (36860)170Ĺ36860,0:10905 2:2:(30);"           - )"5MC$"X":ST1:HOLD19:HNOW22:VOLD20:9010]O0:X147151:115,X129,X:X:6020RC$"2":HOLD24:HNOW26:VOLD20:9010:6020UX147151:151,X165,X:X:6020W20:28:(30);"FACTORED FORM":6010\5000^10000`B4a400M....":6020#/22:14:"( + )"4120:18:" "s4C$"X":ST1:HOLD17:HNOW15:VOLD20:VNOW22:BL$" ":9010920:23:" ">C$"2":HOLD22:HNOW19:VOLD20:9010:6020C16:4:"4).";(30);"AND THEN AS A DIFFERENCE....":6020H22:21:"(129,151122,1471 20:17:"X";(25);".X":6020m11:4:"2).";(30);"AND THE SQUARE ROOT OF THE SECOND"12:7:"TERM....":6020151,151158,147:165,151158,147 20:22:"2";(25);".2":6020 *14:4:"3).";(30);"EXPRESS THEM AS A SU;::(29);"SQUARES";(29):P5:5:"CAN ALWAYS BE FACTORED THIS WAY:":6020u18:18:"X";(25);"2 - 4":60201:7,44273,44:60208:4:"1).";(30);"TAKE THE SQUARE ROOT OF THE FIRST"9:7:"TERM....":60205:115,151122,147:TS ROOT IS AROUND 1.414"F170,148212,148212,164170,164170,148^20:32:", NOT AN"22:6:"EXACT OR WHOLE NUMBER.":6010500010000B34000:60003:3:(30);"A ";::(29);"DIFFERENCE";::(29);" OF TWO PERFECT ",115219,115219,101(14:35:"...."M5:39,11952,112:65,11952,112|16:6:"3";:8:(25);".";:10:"3":601018:2:(30);"BUT 2"6:36,13454,13454,14636,14636,13418:10:"IS NOT A PERFECT SQUARE BECAUSE"20:6:"I9:8:"X";(25);"2 HAS THE SQUARE ROOT X"Xb1:219,61235,61235,75219,75219,61kg9:35:"...."l5:39,8152,74:66,8152,74q11:6:"X";:8:(25);".";:10:"X":6010v14:8:"9 HAS THE SQUARE ROOT 3"1:219,101235,10123510000+B2W0255:6:1:4:(29);"2). DIFFERENCE OF PERFECT SQUARES";(29):100o521,11252,11:6000:3:3:(30);"A PERFECT SQUARE IS A TERM WHICH HAS"?5:6:"A WHOLE, EXACT SQUARE ROOT.":6020D7:3:(30);"FOR EXAMPLE,":6020-N(25);" ":26:" "(7:26:"X":8020i22:2:(30);"WE COULD MULTIPLY THE 2'S TOGETHER....":60007:I720:I:" ";:I7:16:"16X(6" 7:I2528:I:" ";:I7:24:"X)":1005:28:(30);"FACTORED FORM":60105000&25:" " 7:25:"1":8020( 6020T 20:2:(30);"AFTER TAKING OUT THE X" 157,148171,148171,164157,164157,148 20:26:"....":6020 C$"X":NH15:H20:8000 7:20:" ":8020 7:14:(25);"." H26:80007:27:7:25:"4":8020& NH9:H19:80007 7:18:" "N 7:18:"12":8020d 7:10:(25);"."s H25:8000 7:25:" " 7:25:"2":8020 NH7:H19:8000 7:18:" " 7:19:"6":8020 H25:8000 7:8:(25);"." 7:6020, ^C$"2":BL$" ":NH13:H19:V7:8000= c7:18:" "T h7:18:"48":8020c mH25:8000t r7:24:" " w7:25:"8":8020 |NH11:H19:8000 7:18:" " 7:18:"24":8020 7:12:(25);"." H25:8000 7:25:" " IS EXAMPLE, INSTEAD OF TAKING"` ,16:5:"OUT A 16 ,";:1:73,11795,11795,13173,13173,117 617:"WE COULD HAVE REPEATEDLY" @18:5:"TAKEN OUT A 2 ";:115,133129,133129,147115,147115,133:"...." J6000 T7:17:"(" Y7:28:")":0 5:15,11264,11 6000O 3:2:(29);"EXAMPLE 3(";(29);"B)":6020r 7:18:"96X + 16X";(153);"2"| 6000 10:2:(30);"IT MAY BE EASIER TO PICK OUT SMALLER" 12:5:"FACTORS, ONE AT A TIME." 6010 "14:2:(30);"WITH TH ** DIFSQUA 8 **"d36864-n762,09xD$(4)XD$"BLOAD HGRW A9080 L580"c37024~::2:100: SETTINGS(36860)170Ĺ36860,0:86210000B1:100 255:1:3:(29);"1). GREATEST COMMON FACTORS (";(29);"CONT'D)":10     68,0:5010$B5060,200,345936860,170:5070R(4)"RUN DIFSQUA 8"d(4)"PR#0":wpI11000:I:zI1500:I:I1300:I:100:I130:I:255:(#I130:I:2#VOLD:HOLD:BL$;:9000 <#VOLDVOLD1:VOLD:HOLD::21,11259,11:W255:1:5:(29);"3). DIFFERENCE OF CUBES (";(29);"CONT'D)":100n5:28,11252,11:16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:5050(16384)141Ĺ16314,140200,140200,124G546,14027,150:46,14046,150:46,14065,150:20:4:"2";:36,156:7:"2";:56,156:10:"2":6020?50005070:(4)"RUN DIFCUBE 10"255:1:4:(29);"2). DIFFERENCE OF SQUARES (";(29);"CONT'D)":10060,90200,7811:32:"...."M46,9427,104:46,9446,104:46,9465,10414:4:"X";:36,108:7:"X";:56,108:10:"X":6020!17:2:"AND 8"&38,12454,12454,14038,14038,124+17:11:"HAS THE CUBE ROOT 2 ."0200,124214,1242 PERFECT":5:2:"CUBE IS A TERM WITH AN EXACT, WHOLE"Y7:15:"CUBE ROOT.":60209:3:(30);"FOR EXAMPLE,":602011:7:"X";(25);"3"2:38,7460,7460,9038,9038,74 11:11:"HAS THE CUBE ROOT X" 200,78214,78214,9020 ":9010:1001X4953:145,X158,X:X:6020Y8:28:(30);"FACTORED FORM":6020c5000n10000vB31:5:(29);"3). DIFFERENCE OF PERFECT CUBES";(29)5:28,11245,11:6000 100:3:3:(30);"SIMILAR TO A PERFECT SQUARE, A22:2:"....";(30);"AND THEN AS A ";::(29);"DIFFERENCE";::(29);"....":6020o10:18:"( - )"255:C$"12A3":ST1:HOLD14:HNOW19:VOLD8:BL$"  ":90100:X4953:84,X98,X:X:6020C$"11B":HOLD23:HNOW26:VOLD8:BL$" (30);"AND EXPRESS THEM AS A ";::(29);"SUM";::(29);"...."Y10:6:"( + )"i8:13:" "255:C$"12A3":ST1:HOLD9:HNOW7:VOLD8:VNOW10:BL$"  ":90108:22:" "C$"11B":HOLD19:HNOW14:VOLD8:BL$" ":9010:100SWE TAKE THE FIRST SQUARE ROOT....":6020B5:84,5290,4998,53z8:9:"12A";(25);"3";(25);".12A";(25);"3":602018:2:(30);"AND THE SECOND SQUARE ROOT....":6020145,52150,49158,538:19:"11B";(25);".11B":6020>20:2:;(29);"CONT'D)":6010J m6:12:"144A";(25);"6 - 121B";(25);"2":6010a r1,84279,84:6010 w100:12:2:(30);"NOW THAT WE KNOW HOW TO FIND THE SQUARE" |14:4:"ROOTS, WE CAN CONTINUE.":6010 1,116279,116:6010(100:16:2:(30);"67,16431,16431,146I @20:12:"IS THE SQUARE ROOT OF 144A";(25);"6"v E227,146271,146271,164227,164227,146 J20:40:"." O5:73,58115,58115,7673,7673,58 T5000 Y10000 ^B2 c4000:6000 h100:3:2:(29);"EXAMPLE 3 ("S A";(25);"3"? "1:133,130159,130159,146133,146133,130Y '18:24:"....":6020 ,5:115,38115,52101,52:115,44135,44:6:21:"A";(25);"3" 1105,52105,58:9:15:"A";(25);"3" 620:2:(30);"SO 12A";(25);"3" ;1:31,14667,146  ":P:100> 16:2:(30);"THE SQUARE ROOT OF 144 IS 12"n 1:193,117215,117215,131193,131193,117 16:32:"...." 5:73,3873,5292,52:73,4453,44:6:6:"12" 85,5285,58:9:12:"12" 18:2:(30);"AND THAT OF A";(25);"6 I6 - 121B";(25);"2":60203 1:1,84279,84:6020o 12:2:(30);"BOTH OF THESE TERMS HAVE AN EXACT ROOT." 14:2:(30);"LET'S LOOK AT 144A";(25);"6" 109,98151,98151,114109,114109,98 14:23:"....":6020 255:P1824:6:P:" ** DIFSQUA1 9 **#d36864.n762,0:xD$(4)YD$"BLOAD HGRW A9080 L580"d37024t::2:100(36860)170Ĺ36860,0:47010000B1:1004000:60003:2:(29);"EXAMPLE 3";(29):6020 6:12:"144A";(25);"      020!4P1723:11:P:"  ":PD911:17:"16X";(25);"4":6020>100:18:4:(30);"THE ";::(29);"SQUARE";::(29);" OF THE ";::(29);"SECOND";::(29);" CUBE"C19:14:"ROOT....":6020F8:23:" "H200:C$"-1":HOLD24:HNOW26:V11:16:"( )":602038:16:" "200:C$"4X2":ST1:HOLD13:HNOW17:VOLD8:VNOW11:BL$"  ":8010:6020 8:16:" "!200%HOLD17:HNOW21:VOLD8:9010&255(11:20:(25);".":6020*X4150:78,X112,X:X:6:X104144:1,X279,X:X<X176191:1,X279,X:X:6020E100z 13:3:(30);"THE SECOND FACTOR WILL BE:":602015:4:(30);"THE ";::(29);"SQUARE";::(29);" OF THE ";::(29);"FIRST";::(29);" CUBE"16:14:"ROOT....":6020#ER...."11:6:"( + )"/8:12:" "|200:C$"4X2":ST1:HOLD9:HNOW7:VOLD8:VNOW11:BL$"  ":9010:60208:23:" "C$"-1":HOLD21:HNOW12:VOLD8:BL$" ":9010:602011:11:" ":6020:11:11:"-":60205000024:"- 1":6020578,4995,4195,49:95,41112,508:9:"4X";(25);"2";(25);".4X";(25);"2";(25);".4X";(25);"2":6020154,49171,41171,49:171,41190,518:21:"-1";(25);".-1";(25);".-1":602018:3:(30);"AND ADD THEM TOGETH24500:6000;3:2:(29);"EXAMPLE 2";(29):6020a5:13:"64X";(25);"6 - 1":6020{1:1,94279,94:602014:3:(30);"FOR THE FIRST FACTOR, TAKE THE CUBE"16:8:"ROOT OF EACH TERM....":6020P1820:5:P:" ":P5:POSITE";(29)::100*l21:9:"+":60203q255UvC$"2X":H10:NH21:V21:7000m{21:9:" ":7020v}10015:13:"ADDED TOGETHER.":602022:19:"+";:24:"+":602020:28:(30);"FACTORED FORM":6010500010000B:22:" ":6020:22:26:"4":6020K:X145152:127,X163,X:X:6020D12:5:(30);"AND THE ";(29);"OPPOSITE";(29);" OF THE ";::(29);"PRODUCT":N13:9:(29);"OF THE TWO CUBE ROOTS,":6020X21:9:"-2X"b50:12:13::(29);"OPE";::(29);" OF THE ";::(29);"SECOND";::(29);" CUBE"W10:15:"ROOT,":6020h20:23:" "q 255C$"-2":HOLD21:HNOW22:VOLD20:BL$" ":9010:6020HOLD24:HNOW25:VOLD20:9010:6020!100&22:24:(25);".":6020&02215:"ROOT,":6020/ 22:15:"( )"@ 20:14:" "| C$"X":ST1:HOLD13:HNOW16:VOLD20:BL$" ":9010:6020 HOLD15:VOLD20:9010 22:17:(25);"2":6020 X145152:75,X101,X:X:6020<9:5:(30);"THE ";::(29);"SQUAR:10:"-":6020 50008 0:X16112:1,X279,X:X[ X176191:1,X279,X:X:6020 100:4:4:(30);"THE SECOND FACTOR WILL BE:":6020 6:5:(30);"THE ";::(29);"SQUARE";::(29);" OF THE ";::(29);"FIRST";::(29);" CUBE" 7::14:"TOGETHER.":60203 ^22:7:"( + )":6020D h20:12:" " rC$"X":ST1:HOLD11:HNOW8:VOLD20:VNOW22:BL$" ":9010:6020 |20:20:" " 255 C$"-2":HOLD18:HNOW11:VOLD20:BL$" ":9010:6020 100 22:10:" ":6020:22 "20:11:"X";(25);".X";(25);".X":6020_ ,137,151150,145150,150:150,145163,152:6020h 1255 620:18:"-2";(25);".-2";(25);".-2":6020 ;100 @10:4:(30);"THE FIRST FACTOR WILL BE THOSE" J12:9:"TWO CUBE ROOTS, ADDED" T14;::(29);"CUBES";(29):K 5:5:"IS ALWAYS FACTORED LIKE THIS:":6020b 1,44279,44:6020 18:12:"(X";(25);"3 - 8)":6020 8:4:(30);"TAKE THE CUBE ROOT OF BOTH TERMS....":6020 6:75,15188,14588,152:88,145101,152:6020+ ** DIFCUBE 10 **#d36864.n762,0:xD$(4)YD$"BLOAD HGRW A9080 L580"d37024t::2:100(36860)170Ĺ36860,0:66010000B1:1004500:6000 3:3:(29);"A ";::"DIFFERENCE";::(29);" OF TWO PERFECT "          7:(30)"PRODUCT= 3";(25)".X";(25)"2"16010P8:27:(30)"OPPOSITE IS"d9:36:"-3X2"n6000w255C$"-3X2":BL$"  ":ST1:HOLD36:HNOW18:VOLD9:VNOW11:90106010:11:17:" ";:17:"-"1000:X3664:182,X68:90106010AST1:HOLD26:HNOW25:VOLD9:VNOW11:9010\11:25:" ";:25:"9"f60100:X4863:72,X182,X:X600019:3:(30)"AND TAKE THE OPPOSITE OF THE PRODUCT"21:9:"OF THE TWO CUBE ROOTS."6010'6:29:VNOW11:0:108,68:5:9010(6010WVOLD9:VNOW11:HOLD17:HNOW15:ST1:9010v11:15:"  ";:15:"X4"100601017:3:(30)"AND SQUARE THE SECOND CUBE ROOT...."C$"3":BL$" ":ST1:HOLD24:HNOW25:VOLD9:VNOW11:0:172,h100TlC$"3":BL$" ":ST1:HOLD22:HNOW11:VOLD9:VNOW11:0:158,68:5:9010^v600015:3:(30)"THEN SQUARE THE FIRST CUBE ROOT...."600011:14:"( + + )"6010255C$"X2":BL$"  ":HOLD14:HNOW15:ST1:VOLD,68:108,68?6010ID2:164,48151,60:164,48164,60:164,48177,60SI6010wN9:22:"3 3 3":158,68:172,68S6010X11:6:"( + )"]6000^255bC$"X2":BL$"  ":HOLD11:HNOW7:ST1:VOLD9:VNOW11:0:88,68:9010g60103:2:(29)"EXAMPLE 2";(29)&6010H&6:14:"X";(25)"6 + 27"R'6010(13:3:(30)"EXPRESS THE TWO CUBE ROOTS AS A SUM."+600002:94,4973,60:94,4994,60:94,49115,6056010 :9:11:"X";(25)"2 X";(25)"2 X";(25)"2":88-2X":BL$" ":VOLD20:VNOW22:HOLD37:HNOW19:ST1:255:9010I6000e22:18:" ";:18:"-"0:X136162:189,X279,X:X5000B2:4000255:1:8:(29)"4). SUM OF CUBES";(29)" CONT'D":1005:49,11211,116000" ";:26:"4".0:X145152:70,X168,X:X8601015:2:(30)"AND THE ";(29);::"OPPOSITE";(29);::" OF THEIR ";(29);::"PRODUCT";(29);::"."600018:28:(30)"PRODUCT= 2X"20:28:(30)"OPPOSITE=-2X"6000?C$"13:2:(30)"THE ";(29);::"SQUARE";(29);::" OF THE ";(29);::"SECOND";::(29)" CUBE ROOT,"v6010:6010C$"2":BL$" ":HOLD22:HNOW26:ST1:VOLD20:HOLD22:9010C$"2":BL$" ":ST1:VOLD20:VNOW22:HOLD24:HNOW26:9010 22:26:";::(29)"FIRST";(29);::" CUBE ROOT,": 6010:6010L 0:94,157:5 C$"X":HOLD13:HNOW16:ST1:VOLD20:VNOW22:BL$" ":9010:6010 0:158,157:5 C$"X":BL$" ":HOLD15:HNOW16:VOLD20:VNOW22:9010 22:17:(25)"2" 6010f0:144,157:5> C$"2":HOLD20:HNOW12:VOLD20:VNOW22:9010H 5000] S9:VT15:10000 9:2:(30)"THE SECOND FACTOR WILL BE:" 6010 22:15:"( + + )" 6010:6010* 11:2:(30)"THE ";(29);::"SQUARE";(29);::" OF THE O6000: T11:2:(30)"THE FIRST FACTOR WILL BE THOSE"] ^13:8:"TWO CUBE ROOTS ADDED"v h15:13:"TOGETHER." m6010 r22:7:"( + )" u6010 w0:80,157:5 |C$"X":ST1:HOLD11:HNOW8:VOLD20:VNOW22:BL$" ":9010 6010  THE CUBE ROOT OF BOTH TERMS."( '6010] ,2:88,14573,152:88,14588,152:88,145102,152g 16010 620:11:"X X X":80,157:94,157 ;6010 @150,145136,152:150,145150,152:150,145165,152 E6010 J20:20:"2 2 2":144,157:158,157 ";::(29)"SUM";(29);::" OF TWO PERFECT ";::(29)"CUBES";(29);::","z 5:5:"THE STEPS ARE THE SAME AS FOR A" 7:5:"DIFFERENCE OF CUBES." 5:1,60279,60 6010 18:11:"( X";(25)"3 + 8 )" 6010 "9:2:(30)"TAKE ** SUMCUBES 11 **$d36864/i762,0Pn(4)"BLOAD HGRW A9080 L580"[x37024{(36860)170Ĺ36860,0:770B1255:1:8:(29)"4). SUM OF PERFECT CUBES":1005:49,11217,116000M 3:3:(29);(30)"TO FACTOR A       "OF PERFECT ";(29);"SQUARES". 4:13:"C";M 32,9232,10818,10818,92 "7:"A DIFFERENCE ";(29);"OF PERFECT ";(29);"CUBES" ,15:4:"D"; 632,10832,12418,12418,108 @7:"A SUM ";(29);"OF PERFECT ";(29);"CUBES";(29) J32,6026- 9"7 7:3:(30);"WHAT TYPE OF BINOMIAL IS THIS? "@ 200V 9:4:(30);"A";y 18,6032,6032,7618,7618,60 7:(30);"ONE WITH ONLY A COMMON FACTOR" 11:4:(30);"B"; 32,7632,9218,9218,76 7:(29);"A DIFFERENCE ";(29);h ** BI QUIZ (14) **&dD$(4)1n762,0<x36864](4)"BLOAD HGRW A9080 L580"h37024(36860)170Ĺ36860,0:585::5000:B1:0:1:2:100230,64:624502:3:(30);"WHAT DO YOU THINK...." 5:13:"25X";(25);"2       279,X:X:S0:X,X:X:X176191:1,X279,X:X:S0:BOC:BL$;:9000:HLOC0P#ST0HLOCHLOC1:9060@Z#HLOCHLOC1Od#HLOC:BL$n#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCx#VLOC1:HLOC:BL$;:9000:HLOC:C$#'0'X(S1)8VT81:1,X279,X:X:X176191:1,XUP1KrVLOCVUPVDOWN1:NH:VLOC:C$;:6030:NH:VLOC:BL$;:6030:VLOC^wVDOWN:NH:C$d|u(#I130:I:2#VOLD:HOLD:BL$;:9000<#VOLDVOLD1:VOLD:HOLD:C$;:9000A#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLI130:I:255:!@V1:H:C$'JDT6030:V1:H:BL$:6030YVLOCV1VUP1:VLOC:H:C$;:6030:VLOC:H:BL$;:6030:VLOC:HH1^VUP:HLOCHNH1:HLOC:C$;:6030:HLOC:BL$;:6030:HLOCcHLOCHLOC1hVUP:NH:BL$:6030mVUPVNTINUE"1003(16384)194Ĺ16368,0:5050R(16384)141Ĺ16368,0:\5010lB5060,20036860,170:5080(4)"RUN SUMCUBES 11"(4)"PR#0":pI11000:I:zI1500:I:I1300:I:I130:I:100:22:BL$;:V% 11:22:"(X + 2)"/ 5000S 5080:(4)"RUN CHECKPOINTS 13"^ 255: 255:23:8:(30)"PRESS ANY KEY TO CONTINUE":16368,0:A$:100: :100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CO09:15:"X" 6010Z 10:20:"4":11:20:" ":11:20:"2":10:20:" ":9:20:"2"d 6010 09:14:"(":9:21:")":9:18:"+" 255 9:14:BL$" ":BL$;:H1522:H:"(X + 2)";:H:BL$;:H V1011:V:22:"(X + 2)";:";2 c1:221,123257,123257,139221,139221,123? h38:","r m19:2:"WHICH CAN BE FACTORED FURTHER, SINCE" r21:2:"IT'S A ";(29);"DIFFERENCE";(29);" OF PERFECT ";(29)"SQUARES";(29);"." |6000 10:15:"X":11:16:" ":10:15:" ":1:13:"(";:21:")"L ,VDOWN11:VUP9:H14:NH11:V11:BL$" ":C$"2":8000] 111:14:" "g 68020 @VDOWN11:VUP09:H20:NH11:V11:8000 E11:20:" ";:20:"4" J8020 T6000 ^17:2:(30);"BUT NOW ONE OF THE FACTORS IS X";(25)"2-4 BE TRUE." 60002 7:3:(30)"FOR EXAMPLE,"Q 11:14:"2X";(25)"2 - 8"[ 6010 13:2:"MAY BE FACTORED BY DIVIDING OUT A 2"; 1:247,94263,94263,106247,106247,94 15:2:"(IT'S THE ONLY COMMON FACTOR)." "6010:6010 +1 Z COMBINd36864$i762,0En(4)"BLOAD HGRW A9080 L580"Px37024^B1:4000255:1:12:(29)"COMBINATIONS"5:77,11161,1110060003:3:(29);(30)"OFTEN, MORE THAN ONE OF THE FOUR" 5:7:"CONDITIONS MAY       LEFT.".18:1:(30)"SO WE FACTOR IT...."8601010:10:" ";(25)" ";:1:(91);"(X+2)(X";(25);"2-2X+4)";(93)20:1:(30)"AND THEN CHECK ALL OVER AGAIN...."5000VT20:1000010:1:" ";:16:" "#12:1:(30)"NR NO.";:6010:VT16:S2:10000:100:870ApA$"YES"A$"Y"930}z16:1:(30)"WRONG. ";(30)"THE FACTOR ON THE LEFT IS"18:1:"SUCH A TERM. ";(30);"SO WE FACTOR IT...."601096016:1:(30)"CORRECT. ";(30);"IT'S THE ONE ON THE29);::" OF PERFECT ";::(29);"CUBES";(29);:J\14:1:"ANYWHERE?";cf14:11:12000:A$B$gA$"Y"A$"YES"A$"N"A$"NO"874h880(j255:14:10:" ";:VT15:S2:10000:16:8:(30)"PLEASE ANSWER YES OED FORM...."5%10:17:" ";(25);" "g*10:17:(91);"(X-2)(X";(25)"2+2X+4)";(93)422:1:(30)"AND CHECK FOR SOMETHING ELSE.">5000HVT23:10000M10:17:" ";:32:" "1R12:1:(30)"IS THERE A ";::(29);"SUM";(1:"IS A DIFFERENCE OF THE CUBES X";(25)"3 AND 8 ."R800: START FACTORING16:1:(30)"RIGHT. ";(30)"THE FACTOR ON THE RIGHT IS NOW"18:1:"A DIFFERENCE OF THE CUBES X";(25)"3 AND 8 ."  20:1:(30)"SO WE WRITE IT IN ITS FACTOR"N"A$"NO"713715255:14:24:" ";:VT17:S2:10000:16:8:(30)"PLEASE ANSWER YES OR NO.";:6010:VT16:S2:10000:100:710A$"YES"A$"Y"75016:1:(30)"YES THERE IS. ";(30)"THE FACTOR ON THE RIGHT"618:AND CHECK FOR SOMETHING ELSE."(50009VT20:1000012:1:(30)"IS THERE A ";::(29);"DIFFERENCE";(29);::23:"OF PERFECT ";::(29);"CUBES";(29);:14:1:"ANYWHERE IN THE RESULT?";14:25:12000:A$B$A$"Y"A$"YES"A$W10:BL$"  ":9000RlC$"8":HOLD17:HNOW15:VOLD8:VNOW10:ST1:BL$" ":9000vC$"X3":BL$"  ":ST1:HOLD14:HNOW18:VOLD8:VNOW10:9000C$"8":BL$" ":ST1:HNOW22:HOLD20:VNOW10:VOLD8:90000:X4956:70,X161,X:X:320:9:"5)"3":6020&88,4994,56<08:14:"X";(25);"3":6020F:6010kD127,49115,56:8:17:"8":6020N127,49137,56:8:20:"8":6020X10:10:"(";:13:"+";:16:")";:17:"(";:20:"-";:23:")"bC$"X3":ST1:HOLD11:HNOW11:VOLD8:VNO AND";+ n161,118145,118145,128139,124? o22:"64 = 8 ."I p6000R q505y 16:1:(30)"THAT'S RIGHT.":6020 18:1:(30)"SO WE FACTOR IT ACCORDING TO THE" 20:1:"RULE...." 6010 2 88,4974,5274,56 8:11:"X";(2 ";:VT16:S2:10000:15:8:(30)"PLEASE ANSWER YES OR NO.";:6010:VT16:S2:10000:100:355 i13:36:12000:A$B$ jA$"YES"A$"Y"500 k16:1:(30)"WRONG. "; l7:70,11454,11454,12848,124 m9:"X";(25)"6 = X";(25)"35000 ^VT16:10000g _12:5:(30)"IS IT A ";::(29);"DIFFERENCE";(29);::23:" OF PERFECT " `14:7:(29);::"SQUARES";(29);::"?" c14:16:12000:A$B$ dA$"Y"A$"YES"A$"N"A$"NO"358 e362m f255:14:16:" 1:25,10147,10147,11625,11625,101E 9:"AND X";(25);"6 ";l 89,98109,98109,11689,11689,98 18:"HAVE NOTHING IN COMMON." 6010 "340 ,14:1:(30)"CORRECT." 66010 T16:1:(30)"NOW WE CHECK FOR SOMETHING ELSE." Y 12:31:12000:A$B$D A$"YES"A$"Y"A$"N"A$"NO"248M 250 255:12:30:" ";:VT15:S1:10000:14:8:(30)"PLEASE ANSWER YES OR NO.";:6010:VT14:S1:10000:100:245 A$"NO"A$"N"300 14:1:(30)"NO, 64 ";(  ** CHECKPOINTS 13 **'d368642i762,0Sn(4)"BLOAD HGRW A9080 L580"^x37024dqB1:1002:2:(30);"LET'S FACTOR THIS BINOMIAL...."6:13:"X";(25);"6 - 64"600012:1:(30)"DOES IT HAVE A COMMON FACTOR? ";          INSTRUCTOR FOR HELP.":24:2:(29);"GOOD BYE!";(29)\S$"NO"S$"N"āJ11000:J:::20:8:(30);"PLEASE ENTER YES OR NO.":X1600:X0:J120136:119,J279,J:J:J152160:1,J279,J:J:96519:2:(30);"GREAT!!""J816:1,0);"THE ANSWERS SHOULD BE...."h0:J7280:77,J186,J:J:10:12:"5X ";(25);". 5X 3 ";(25);". 3"17:2:(30);"DO YOU SEE NOW?"17:18:(29);:12000:S$B$:(29)S$"Y"S$"YES"ī9805S$"NO"S$"N"Ģ21:2:(30);"PLEASE SEE AN "5X"E$"5X"C$"3"D$"3"āJ816:1,J279,J:J:19:15:(30);"RIGHT!";:J1550:J:985 15:11:(30);"WRONG. ";(30);"TRY AGAIN.":J1600:J:0:J7280:77,J186,J:J:T1 J112120:70,J224,J:J:83514:2:(30);"WRONG AGAIN. ";(30:77,J186,J:J:J152160:1,J279,J:J:835f 22:8:(30);"PLEASE ENTER YES OR NO.":X1600:X 0:J149160:238,J279,J:J:J168176:1,J279,J:J:905 0:J112164:1,J279,J:J T1(F$"5X"E$"5X"C$"3"D$"3")ī945[ F$0:"^":10:20:12000:C$B$:12:20:" "m z7:164,90164,95:12:24:"^":10:24:12000:D$B$:12:24:" " 20:5:(30);"ARE YOU SURE OF YOUR ANSWERS?" 20:35:(29);:12000:S$B$:(29) S$"Y"S$"YES"ī923. S$"N"S$"NO"Ē0:J728;"THE ARROW SHOWS WHERE YOUR ANSWER GOES."x W17:5:(30);"PRESS ";::(29);"RETURN";(29);::" AFTER EACH ANSWER." \10:12:12000:F$B$:12:12:" " f7:115,90115,95:12:17:"^":10:17:12000:E$B$:12:17:" "( p7:136,90136,95:12:2:14:"25X";(25);"2 - 9" >5:87,70102,49116,70:137,70150,49164,70:7:77,8291,82:112,82126,82:133,82140,82:161,82168,82 C10:15:(25);".";:22:(25);"." H7:80,9080,95:12:12:"^" MS$"N"S$"NO"T1ī860* R15:2:(30)B *** BI QUIZ1 (15) ***)dD$(4)4n762,0?x36864`(4)"BLOAD HGRW A9080 L580"k37024(36860)170Ĺ36860,0::5000:B1:0:1:2:T0:T10100230,64:62450*2:2:(30);"NOW TYPE IN THEIR SQUARE ROOTS:" 46              6> d-6?$%'  8 m>.6>$8l--?`-5 -#<($- $M16?  l 6$l 66?  8h  - $? ,--c 8?7-?( $66$$$M166>d M16 $ M1-- ` ??--;,<,<,-5I8888(- .$'%'%??`  (-%' >?'`(>?$$$*(6? d-?? d%H655? d->?-!<($ ' - <,v-$$$*(6>)$(8- $(8$$$` : )$$<$$! 56>!$(-(-%8?7a   (?-$-!$6$$$-?N1? $d-?$$$-66?$$$--;*-$$$--;? $d-*?$$$M16?w 6)$$(-- $$$$$M--$$$$$$`666$$$V$$$ $d-66?$$$-? $d-6?$$$-?- ? - $$(-- $$M166 l6!($gl??.(5(78`5(I%c ;.   ?A < $  $`8`1 7.>Al8?g!) (-5 (((( )- $?66` )$$-- ( ?- 8  ??I,8$$.-- ?',--)- ?$d(-!d( ??)- ?$ -6-( $?v-H a$ I C a ?L[ '/<DHNQWelz !,8ALX`ht|'/;DMXbnv",6AL--%??'--%??'--%??'--%???6666  $$ə``LE`7̅6ȄiiLɝɠ JE(蠑N ۰i )8L eȱe$ e$ e$Ȫ% im  20   ER ";(29);"A, B, C, ";(29);"OR ";(30);"D AND PRESS ";::(29);"RETURN";(29);::"."a E100 J7:34:(29);:12000:S$B$:(29) TS$(64)S$(68)Ģ23:8:(30);"PLEASE ENTER ";(29);"A, B, C, ";(29);"OR ";(30);"D.":I1600:I:7:34:" "P1(B$):" ";:%/(A$)32ī120102/B$B$A$K/P1:P1(B$):" ";V/12010q&/(B$)1B$"":120100/B$(B$,(B$)1):12010LD50,170,355$230,64:62450:100:936860,170:5080W(4)"RUN BI QUIZ2A (17)"i(4)"PR#0":}.B$"":16368,0.P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070.A$(13)ĩ100:P1:P11:0:J136160:14,J270,J:J:620*4000N5080:(4)"RUN BI QUIZ 4 (19)"T16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010 B50:"IF THE BINOMIAL INVOLVES ";(29);"SQUARES.";(29)22:3:(30);"TRY AGAIN.":I11500:I:0:J136176:14,J270,J:J:62018:3:(30);"WRONG. ";(30);"THERE ISN'T ANY COMMON" 20:3:"FACTOR TO REMOVE. ";(30);"TRY AGAIN.":I11500:I:" YOU MUST TAKE THE ";(29);"SQUARE";(29)W22:3:"ROOTS. ";(30);"SO ";(30);"A"1:87,16587,179103,179103,16587,16522:17:"IS CORRECT.":72018:3:(30);"WRONG. ";(30);"YOU CAN'T TAKE A ";(29);"CUBE";(29);" ROOT"420:320:3:"IS A ";(29);"DIFFERENCE";(29);" OF PERFECT ";(29);"SQUARES.";(29)22:3:(30);"TRY AGAIN.":I11500:I:0:J133176:14,J270,J:J:62018:3:(30);"RIGHT. ";(30);"WITH A BINOMIAL INVOLVING"*20:3:(29);"SQUARES,";(29);I:0:J416:154,J279,J:JwvR$(64)R$(68)Ē0:J144152:1,J279,J:J:2:23:(29);:12000:R$B$:(29):625{R$"A"ī665R$"B"ī690R$"C"ī70518:3:(30);"WRONG. ";(30);"WE JUST SAID THAT (4Y";(25);"2 - X";(25);"2)"PX39,10839,12425,12425,108H]8:(30);"NOTHING -- IT'S FACTORED"Qa100rb40,60223,60223,12424,124l2:23:(29);:12000:R$B$:(29)qR$(64)R$(68)Ģ19:6:(30);"PLEASE ENTER ";(29);"A,B,C, ";(29);"OR ";(30);"D.":I1600:5,7625,60008:(30);"TAKE THE SQUARE ROOTS"G511:5:(30);"B";d:39,7639,9225,9225,76?8:(30);"TAKE THE CUBE ROOTS"D13:5:(30);"C";I39,9239,10825,10825,92N8:(30);"TAKE OUT A COMMON FACTOR"S15:5:(30);"D";4000 SCREEN3 5000%B3L2:3:(30);"NOW WHAT DO YOU DO?"4:4:"12Y";(25);"2 - 3X";(25);"2 = 3(4Y";(25);"2 - X";(25);"2) ...."!1:123,19123,35207,35207,19123,19"200&9:5:(30);"A"; +25,6039,6039,762ARES"; 13:4:"C";6 32,9232,10818,10818,92f 7:"DIFFERENCE ";(29);"OF ";(29);"CUBES"w 15:4:"D"; "32,10832,12418,12418,108 ,7:"SUM";(29);" OF ";(29);"CUBES";(29) 632,60200,60200,12432,124X @18:3:(30);"ANSW + 64"9 7:3:(30);"WHAT TYPE OF BINOMIAL IS THIS? "B 200X 9:4:(30);"A";{ 18,6032,6032,7618,7618,60 7:(30);"COMMON FACTOR" 11:4:(30);"B"; 32,7632,9218,9218,76 7:(29);"DIFFERENCE ";(29);"OF ";(29);"SQU  *** BI QUIZ2 (16) ***)dD$(4)4n762,0?x36864^D$"BLOAD HGRW A9080 L580"i37024(36860)170Ĺ36860,0:450::5000:B1:0:1:6:100230,64:624502:3:(30);"WHAT DO YOU THINK...." 5:11:"27Y";(25);"3! ! ! !     00:P1:P11:P1(B$):" ";:4/(A$)32ī12010A/B$B$A$Z/P1:P1(B$):" ";e/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010$):" ";/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010AJ106120:1,J279,J:J:39020:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J130144:112,J279,J:J:J152160:1,J279,J:J:525D1$"3Y"D2$"+"D3$"4"D4$"9Y2"D5$"-"D6$"12Y"D7$"+"D8$"16"Ģ20:15:(29);"WONDERFUL!";(29):J:J:J144152:1,J270,J:J:490j7:213,131213,135:17:31:"^":15:31:12000:D8$B$:17:31:" "18:3:(30);"ARE YOU SURE?" 18:17:(29);:12000:S$B$:(29)S$"Y"S$"YES"ī538S$"NO"S$"N"Ē0:J136144:1,J279,J:J:J:460O7:171,131171,135:17:25:"^":15:25:12000:D6$B$:17:25:" "7:199,131199,135:17:29:"^":15:29:12000:D7$B$:17:29:" "D7$"+"D7$"-"ī510"19:10:(30);"PLEASE ENTER + OR -":J1600:J:0:J110120:196,J217,,135:17:19:"^":15:19:12000:D4$B$:17:19:" "|7:157,131157,135:17:23:"^":15:23:12000:D5$B$:17:23:" "D5$"+"D5$"-"ī48019:10:(30);"PLEASE ENTER + OR -":J1600:J:0:J110120:154,J175,J:J:J144152:1,J270,J:10:12000:D2$B$:17:10:" "7D2$"+"D2$"-"ī44019:10:(30);"PLEASE ENTER + OR -":J1600:J:0:J144152:1,J270,J:J:J112120:63,J84,J:J:4207:80,13180,135:17:12:"^":15:12:12000:D3$B$:17:12:" "47:129,131129HARACTER AN EXPONENT."<15:5:"(";:15:") (";:35:")"7:42,12156,121:77,12191,121:126,121147,121:168,121189,121:210,121231,1217:45,13145,135:17:7:"^":15:7:12000:D1$B$:17:7:" "7:66,13166,135:17:10:"^":15:. 3Y ";(25);". 3Y) + (4 ";(25);". 4 ";(25);". 4)"DOJ1600:JaT0:J816:14,J98,J:J^2:3:(30);"NOW TRY TO WRITE IT IN ITS FACTORED"c4:3:"FORM. ";(30);"PRESS THE ";::(29);"ESC";(29);::" KEY TO MAKE THE"h6:3:"NEXT C30);"PLEASE ENTER YES OR NO.":X1600:X:0:J160176:126,J279,J:J:J176184:1,J279,J:J:296024:15:(29);"EXCELLENT!";(29)1J11000:J2500062:3:(30);"SO...."@9:13:"27Y";(25);"3 + 64 ="4J12:6:"(3Y ";(25);"(30);"DO YOU SEE NOW? "A (22:19:(29);:12000:S$B$:(29)[ )S$"Y"S$"YES"ī304 +S$"NO"S$"N"Ē0:J120176:1,J279,J:J:18:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":20:3:(29);"GOOD BYE!";(29):J11000:J:::e,23:8:(30);"TRY AGAIN."T C1$"3Y"C2$"4"Ģ20:10:(30);"WRONG. ";(30);"TRY AGAIN."v J50176:14,J250,J:J:190 "16:3:(30);"WRONG AGAIN.":18:3:(30);"THE CUBE ROOT OF 27Y";(25);"3 IS 3Y AND THE":20:3:"CUBE ROOT OF 64 IS 4." '22:3:"YOU GOT THEM RIGHT.":305G TT1:T2āJ120176:1,J270,J:J:290 C1$"3Y"C2$"4"Ģ20:3:(30);"YOU JUST GOT THE FIRST ONE RIGHT.":22:3:(30);"TRY AGAIN." C1$"3Y"C2$"4"Ģ20:3:(30);"YOU JUST GOT THE SECOND ONE RIGHT.":22:3:(S"ī2509 S$"NO"S$"N"āJ50150:14,J250,J:J:190 20:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J130144:112,J279,J:J:J152160:1,J279,J:J:235 C1$"3Y"C2$"4"āJ152176:1,J270,J:J:20:3:(30);"EXCELLENT. ";(30);;(25);"3? "Z 16:3:(30);"PRESS ";::(29);"RETURN";(29);::" AFTER EACH ANSWER."s 8:21:12000:C1$B$ 12:17:"64? " 12:21::12000:C2$B$: 18:3:(30);"ARE YOU SURE?" 18:17:(29);:12000:S$B$:(29) S$"Y"S$"YE *** BI QUIZ2A (17) ****D$(4)5762,0@36864`D$;"BLOAD HGRW A9080 L580"k37024::0:1:0:100:T0:U0(36860)170Ĺ36860,0:3062:3:(30);"NOW WHAT WOULD BE THE CUBE ROOT";:4:3:"FOR...." 8:15:"27Y"" " " " " """""""""   9,X:X:X184191:1,X279,X:X:5.16368,0:B$""C.P1(A)1T.P(37):255|.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):"