+ / X E  f  EL ӠӠԠŠ$ԠӠΠĠ٠Ӡۅȱ `Hh: 808`LLIST Jȹ H X뺽멻h YPO BIT1 ERR=====================<<<<<<<<<<<<<<<<<<<<<<<<<<=<<<<<<<<<=====================1<<<<<<<<<=====================1<<<<<<<<<=======================<<<<<<<<<<<<<<==<<<<<<<=======1==============1=======================1=====!<<<<<<========1==============1==============================1==============1==============================1<<<<<<<<======================1<<<<<<<=======================1============1================================1==============1<<<<<<<<======================1=======1=======>>>>>>>>>>>>>>>>``          !  SO, PROCESS FILTYPE #3 IS APS OR INT? FIXIT2 IF SO, PROCESS DUNF NOT BASHED, BIN OR TEXT ; FIXIT2 : FIXTRK FIXSEC DISKRD GET CURRENT SECT ; FSTFLG IS FIRST SECTOR? )FFSTSEC SPECIAL IS FIRST SECT IN FILE FNOTFST ; -; FIRST SECTOR IN FILE. SPECIAL CHECHS/SETUP FFSTSEC : ; #2 "ISTSTMT INIT START OF STMT PTR ARSTSTMT REL START OF STMT IPRVFLG APRVFLG AND SPLIT STMT FLAGS IENDFLG AENDFLG ##0 THIS FLAG IS 0=FALSE,FF=TRUE AOOPFLG SPLIT PTR FLAG ; ; SETUP FOR APPLESOFT FIXING ; BUFFER+2 BUFFER+3 FIRST POINTER APSPTR APSPTR+1 STORE ; BUFFER+4 BUFFER+5 FIRST LINE NUM APSLNM APSLNM+1 STORE IT ; FIXTYP BIT1 IF BASHED, BASHED1 SPECIAL HANDLING ; FILTYPE BIT1 IS APS? FZSLP0 PREP FOR APS FNOTFST SKIP IT ; FZSLP0 : ; #5 FZSLP :  "FNOZF NO ZERO BY END OF SECT? BUFFER,X FZSLP NON-ZERO, GO ON ; ZERO FOUND XSAV TEMP SAVE OFFSET APSPTR  XSAV BASE=PTR-OFFSET APSBAS STORE BASE APSPTR+1 #0 APSBAS+1 ;  STORE APSTSTMT AS BAS+1 APSBAS #1 APSTSTMT #0 APSBAS+1 APSTSTMT+1 ; FNOTFST ; FNOZF : ; ; INTERNAL ERROR..... ; #1 #1 MESSG  "INTERNAL ERROR ON FIX APS"  00 DEBUG=ON   HANG  ; ; BASHED FIRST SECTOR ; BASHED1 : FILTYPE #$7F   NBINT1 FIX1INT DUNF1 NBINT1 :  NBAPS1 FIX1APS DUNF1 NBAPS1 :  SAVE SHIFTED TYPE FIXTYP BIT1 BASHED? NBAPS1A BASHED, FIX  DUNF ; NBAPS1A :   NBBIN1 FIX1BIN DUNF1 NBBIN1 : NBBDTP FIXTEX DUNF1 NBBDTP : ; BAD TYPE #1 #1 MESSG ! "INTERNAL ERROR: BAD FIX TYPE"  00 DEBUG=ON   HANG  ; ; FNOTFST : FILTYPE #$7F   NBINT FIXINT DUNF NBINT : + / X E  f  EL ӠӠԠŠ$ԠӠΠĠ٠Ӡۅȱ `Hh: 808`LLIST Jȹ H X뺽멻h YPO BIT1 ERR  Ӡޠ!"κĠˠŠޠBàޠ/ˠźcvc]ܢ @J0G eeʎd d E DUEX ЃDWcДJEgDfLH eeh) tt L [ _HH`]ɍ]ɬ` ɠ``DE ɤ<(LΡ DE`80!  eDeE eDDeEE8`D&E`( 80 0 DDLDLDL^ t^`,tP ȟpMt-^^`DH hWLԧ d@` Lꢩ  c ȢL LqLգcl mllm ꢥELȦAD@ C N cLuɠ% d: L @ NL   L` -e L գsr ࣭ml ࣭srL -µLЦ գ ze)rs zrsLq ] Qlr L̦ գ8gh ࣥhgL գ8LʨM ࣥˤLµH hLħõµ µõLõĵL LLЦ  #-µµ( zegehtpjigh q Ql` z8L`MaEK@>ˆʎõĵL õ ĵµ aµ`` L̦µ_bJLuLz`  ȟ QlXJ̥KlV  ȟ QlV eօ3L e3L &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@` ŵL^Lõ`  \ 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$3>L[dmx- (  Ϡ@跻~!Wo*9~~~~ɬƬ~_ j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_ J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ!  8صٵ紭ﵝ 7L (0+BC  7L HH`LgL{0 HH` õL H hBL BH [ h`Lo õ ڬL B ڬ LʬH hB@ յյ [L (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ 7 ^* B0 HȱBh ӵԵ 8 L8 ݲ` ܫ  / / ED B / / ]ƴS0Jȴ ȴ)  紅D贅E B ƴ  / 0L Ν `HD٤DEEhiHLGh ` ŵBѵ-` ѵB-` ܫ XI볩쳢8 DH E𳈈췍Ȍ X0 · JLǵBȵC`,յp` 䯩 R-յյ`յ0` K R-յյ`ɵʵӵԵ` 4 K ( ѵҵLBȱBL8` DBHBH : ַ޵BȭߵBhhӵԵ RBܵmڵ޵ȱBݵm۵ߵ` 䯩LR˵̵ֵ׵`êĪLR E( 8` R` ELRŪƪ`췌 յյI뷭鷭귭ⵍ㵍跬ª 뷰` Lf ݵܵߵ޵ ^`8ܵ i B8` 4L ֵȱB׵ ܯ䵍൭嵍 ` DȑB׵Bֵ  ַ յյ`굎뵎쵬 뵎쵌``õĵBCõĵ`µµ`L õBĵCصص Qƴ0"Bƴ 󮜳` 0۰ϬBƴ8`i#`ЗLw!0>ﵭ` m ﳐ 7i볍 8 ЉLw`H h ݲL~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈ۭm浍浭m䵍䵩m嵍`"L ŵ8ŵH ~(`  d ֠z# u`24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"e(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050,160230,64:62450:100:36860,170:5080(4)"RUN TRI QUIZ A (26)"(4)"PR#0":$,(B$)1):12010B".P1(A)1 .P(37):255H.P1:P1:(B$)):P1:P1:B$;" ";P.A$d.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):" ";/12010&/(B$)1B$"":120100/B$(B5,41536860,170:50808(4)"RUN (NEXT PROGRAM)"J(4)"PR#0":]pI11000:I:ozI1500:I:I1300:I:I130:I:100:I130:I:255:'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:.16368,0:B$"PRESS RETURN+(4)"RUN TRI QUIZ B (27)"6 255:C:100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010B5060,200,31X2"700:IF NEITHER ARE THERE,IT'S WRONG K22:15:(30)"RIGHT!":725i WRONG ANSWER PROCESSING22:10:(30)"WRONG. ";(30)"TRY AGAIN.":6010:0:Y120136:84,Y133,Y:Y:Y120128:147,Y154,Y:Y:Y152186:1,Y279,Y:Y:570 5000: R YES OR NO.":X1600:X:0:J149160:112,J279,J:J:J168176:1,J279,J:J:635}B$"NO"B$"N"Ē0:J120136:84,J133,J:J:J120128:147,J154,J:J:J152160:1,J279,J:J:570+CHECK$B$(1)B$(2)B$(3)B$(4):CHECK$"X+112"CHECK$"11+:19:18:"^"6N17:18:12000:B$(3)B$:19:18:" "[X7:150,138150,142:18:22:"^"]16:22:12000:B$(4)B$:18:22:" "{20:3:(30)"ARE YOU SURE? ";:(29);:12000:(29)U|B$"NO"B$"N"B$"YES"B$"Y"Ģ22:8:(30);"PLEASE ENTE(1)B$:19:13:" "8B7:108,146108,150:19:16:"^"aD17:16:12000:B$(2)B$:19:16:" "GB$(2)"+"B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578 I7:122,146122,150SWER MESSAGEB!14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"&17:11:"(";:7:84,13898,138:119,138133,138:21:")":DRAW UNDERLINES 57:149,129154,129:UNDERLINE FOR EXPONENT :7:87,14687,150:19:13:"^"?17:13:12000:B$"X"B$(2)"X"B$(3)"11"B$(4)"11"540O *** ANSWER WAS WRONG,SO GO BACK 14:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:63,Y182,Y:Y0:Y88114:1,Y279,Y:: ERASE QUESTION435 0:Y104120:14,Y133,Y: ERASE WRONG AN(29)OB$"NO"B$"N"Ē0:Y6172:63,Y189,Y::Y8896:1,Y279,Y::435iB$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:510  **CHECK IF CORRECT' B$(1)86:11:14:"^"79:14:12000:B$(2)B$:11:14:" "Z7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "12:3:(30)"ARE YOU SURE? ";:(29);:12000:1:69,6281,4393,62:153,62165,43177,62L1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES7:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" "7:94,8294,OF THE PERFECT SQUARE"i22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,16516:"IS CORRECT."5000: PRESS RETURN:::B32:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"*C.":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360ir16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS 2:(30)"C ";:3,883,10817,10817,883,88Hc(30)"TAKE CUBE ROOTS"id17,52279,52279,10817,108rf255h2:27:(29);:12000:(29)jB$"A"375lB$"B"B$"C"ī370Hn16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);" SHOULD YOU DO?" D200O E8:2:(30)"A ";:1:3,523,6817,6817,523,52 J(30)"TAKE SQUARE ROOTS OF THE TWO SQUARES" O10:2:(30)"B ";:3,683,8817,8817,683,68 T(30)"TAKE THE SQUARE ROOT OF THE MIDDLE" Y11:7:"TERM",^13:HE THIRD TERM IS TWO TIMES THE" '22:2:"PRODUCT OF THEIR ROOTS. ";(30)"SO ";:(30)"B";:2:200,165200,179214,179214,165200,165 132:"IS RIGHT." 65000 ;B2::: =255:5:12:"X";(25)"2 + 22X + 121":100 @2:3:(30)"NOW WHAT600:X:0:J4456:238,J279,J:J:J120128:1,J279,J:J:255_ 16:2:(30)"WRONG";:280y 16:2:(30)"RIGHT"; 7:". ";(30)"IT HAS NO COMMON FACTOR, BUT IT" 18:2:"HAS TWO PERFECT SQUARE TERMS (121 AND" "20:2:"X";(25)"2) AND T2,10832,9218,92? 7:(30)"NEITHER (TWO BINOMIAL FACTORS)"` 32,61256,61256,10832,108i 255 7:35:(29);:12000:(29) B$"B"275 B$"A"B$"C"ī270@ 16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X1INOMIAL IS THIS?" 200N 9:4:(30)"A";:18,6118,7632,7632,6118,61{ 7:(30)"ONE WITH ONLY A COMMON FACTOR" 11:4:(30)"B";:18,7618,9232,9232,7618,76 7:(30)"A PERFECT SQUARE TRINOMIAL" 13:4:(30)"C";:18,9218,1083 THIS IS TRI QUIZ A%d368640i762,0Qn(4)"BLOAD HGRW A9080 L580"\x37024|(36860)170Ĺ36860,0:415:::B1:100:22:3:(30)"WHAT DO YOU THINK...."5:12:"X";(25)"2 + 22X + 121" 7:3:(30)"WHAT TYPE OF TR          ".P1(A)1 .P(37):255H.P1:P1:(B$)):P1:P1:B$;" ";P.A$d.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):" ";/12010&/(B$)1B$"":120100/B$(B,41536865,170:50808(4)"RUN TRICOMFAC4 (25)"J(4)"PR#0":]pI11000:I:ozI1500:I:I1300:I:I130:I:100:I130:I:255:'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:.16368,0:B$"RESS RETURN*(4)"RUN TRI QUIZ B (27)"5 255:B:100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010B5060,200,31522:10:(30)"WRONG. ";(30)"TRY AGAIN.":6010:0:Y120136:1,Y279,Y:Y:Y152186:1,Y279,Y:Y:S1:55022:3:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOULD BE...."0:J120136:1,J279,J:J:17:11:"( X + 11 )";(25);"2" 5000: P:1,J279,J:J:635a}B$"NO"B$"N"Ē0:J120136:1,J279,J:J:J152160:1,J279,J:J:550CHECK$B$(1)B$(2)B$(3)B$(4):CHECK$"X+112"CHECK$"11+X2"700:IF NEITHER ARE THERE,IT'S WRONG 22:15:(30)"RIGHT!":725S1ī710m,138150,142:18:22:"^"B]16:22:12000:B$(4)B$:18:22:" "{{20:3:(30)"ARE YOU SURE? ";:(29);:12000:(29)|B$"NO"B$"N"B$"YES"B$"Y"Ģ22:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J149160:112,J279,J:J:J16817616:12000:B$(2)B$:19:16:" "GB$(2)"+"B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578I7:122,146122,150:19:18:"^"N17:18:12000:B$(3)B$:19:18:" "X7:150S&17:11:"(";:7:84,13898,138:119,138133,138:21:")":DRAW UNDERLINES 57:149,129154,129:UNDERLINE FOR EXPONENT :7:87,14687,150:19:13:"^"?17:13:12000:B$(1)B$:19:13:" "B7:108,146108,150:19:16:"^"D17:NG AGAIN. ";(30);"THE ANSWERS SHOULD BE...."K0:J6472:1,J279,J:J9:10:"X";:1:81,68:14:"X";:21:"11";:163,68:25:"11"0:Y88120:1,Y279,Y:Y:ERASE WRONG ANSWER MESSAGE !14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"1)"X"B$(2)"X"B$(3)"11"B$(4)"11")ī535c B$(1)"X"B$(2)"X"B$(3)"11"B$(4)"11"54014:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:1,Y279,Y:Y0:Y88114:1,Y279,Y::ERASE QUESTION T1:435-14:3:(30);"WROSURE? ";:(29);:12000:(29)fB$"NO"B$"N"Ē0:Y6172:1,Y279,Y::Y8896:1,Y279,Y::435B$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:5100 T1(B$(7:94,8294,86:11:14:"^"F9:14:12000:B$(2)B$:11:14:" "i7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "10012:3:(30)"ARE YOU 01:69,6281,4393,62:153,62165,43177,62R1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES2557:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" " THE PERFECT SQUARE"g22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,165~16:"IS CORRECT."5000: PRESS RETURN:::B3:T0:S02:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360gr16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS OF(30)"C ";:3,883,10817,10817,883,88Fc(30)"TAKE CUBE ROOTS"gd17,52279,52279,10817,108pf255h2:27:(29);:12000:(29)jB$"A"375lB$"B"B$"C"ī370Fn16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.HOULD YOU DO?" D200M E8:2:(30)"A ";:1:3,523,6817,6817,523,52~ J(30)"TAKE SQUARE ROOTS OF THE TWO SQUARES" O10:2:(30)"B ";:3,683,8817,8817,683,68 T(30)"TAKE THE SQUARE ROOT OF THE MIDDLE" Y11:7:"TERM"*^13:2: THIRD TERM IS TWO TIMES THE" '22:2:"PRODUCT OF THEIR ROOTS. ";(30)"SO ";:(30)"B";:2:200,165200,179214,179214,165200,165 132:"IS RIGHT." 65000 ;B2::: =255:5:12:"X";(25)"2 + 22X + 121":100 @2:3:(30)"NOW WHAT S0:X:0:J4456:238,J279,J:J:J120128:1,J279,J:J:255] 16:2:(30)"WRONG";:280w 16:2:(30)"RIGHT"; 7:". ";(30)"IT HAS NO COMMON FACTOR, BUT IT" 18:2:"HAS TWO PERFECT SQUARE TERMS (121 AND" "20:2:"X";(25)"2) AND THE10832,9218,92= 7:(30)"NEITHER (TWO BINOMIAL FACTORS)"^ 32,61256,61256,10832,108g 255 7:35:(29);:12000:(29) B$"B"275 B$"A"B$"C"ī270> 16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X160OMIAL IS THIS?" 200L 9:4:(30)"A";:18,6118,7632,7632,6118,61y 7:(30)"ONE WITH ONLY A COMMON FACTOR" 11:4:(30)"B";:18,7618,9232,9232,7618,76 7:(30)"A PERFECT SQUARE TRINOMIAL" 13:4:(30)"C";:18,9218,10832, ** TRI QUIZ A (26) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024z(36860)170Ĺ36860,0:::B1:100:22:3:(30)"WHAT DO YOU THINK...."5:12:"X";(25)"2 + 22X + 121" 7:3:(30)"WHAT TYPE OF TRIN          010&/(B$)1B$"":12010:0/B$(B$,(B$)1):12010B84191:1,X279,X:X:*.16368,0:B$""8.P1(A)1I.P(37):255q.P1:P1:(B$)):P1:P1:B$;" ";y.A$.A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32ī12010/B$B$A$/P1:P1(B$):" ";/12,200,315,415!36860,170:5080?(4)"RUN (NEXT PROGRAM)"Q(4)"PR#0":dpI11000:I:vzI1500:I:I1300:I:I130:I:100:I130:I:255:X0:Y104163:1,Y279,Y:Y:'0'XTVT81:1,X279,X:X:X15000: PRESS RETURN2(4)"RUN TRI QUIZ B (27)"= 255:J:100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010 B50601+X2"700:IF NEITHER ARE THERE,IT'S WRONG M22:15:(30)"RIGHT!":725k WRONG ANSWER PROCESSING22:10:(30)"WRONG. ";(30)"TRY AGAIN.":6010:0:Y152180:1,Y279,Y:Y7000: ERASE IT ALL550: RETURN FOR ANOTHER ANSWERR YES OR NO.":X1600:X:0:J149160:112,J279,J:J:J168176:1,J279,J:J:635}B$"NO"B$"N"Ē0:J120136:84,J133,J:J:J120128:J147,J154,J:J:J152160:1,J279,J:J:570-CHECK$B$(1)B$(2)B$(3)B$(4):CHECK$"X+112"CHECK$"1:19:18:"^"6N17:18:12000:B$(3)B$:19:18:" "[X7:150,138150,142:18:22:"^"]16:22:12000:B$(4)B$:18:22:" "{20:3:(30)"ARE YOU SURE? ";:(29);:12000:(29)U|B$"NO"B$"N"B$"YES"B$"Y"Ģ22:8:(30);"PLEASE ENTE(1)B$:19:13:" "8B7:108,146108,150:19:16:"^"aD17:16:12000:B$(2)B$:19:16:" "GB$(2)"+"B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578 I7:122,146122,150SWER MESSAGEB!14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"&17:11:"(";:7:84,13898,138:119,138133,138:21:")":DRAW UNDERLINES 57:149,129154,129:UNDERLINE FOR EXPONENT :7:87,14687,150:19:13:"^"?17:13:12000:B$"X"B$(2)"X"B$(3)"11"B$(4)"11"540O *** ANSWER WAS WRONG,SO GO BACK 14:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:63,Y182,Y:Y0:Y88114:1,Y279,Y:: ERASE QUESTION435 0:Y104120:14,Y133,Y: ERASE WRONG AN(29)OB$"NO"B$"N"Ē0:Y6172:63,Y189,Y::Y8896:1,Y279,Y::435iB$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:510  **CHECK IF CORRECT' B$(1)86:11:14:"^"79:14:12000:B$(2)B$:11:14:" "Z7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "12:3:(30)"ARE YOU SURE? ";:(29);:12000:1:69,6281,4393,62:153,62165,43177,62L1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES7:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" "7:94,8294,OF THE PERFECT SQUARE"i22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,16516:"IS CORRECT."5000: PRESS RETURN:::B32:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"*C.":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360ir16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS 2:(30)"C ";:3,883,10817,10817,883,88Hc(30)"TAKE CUBE ROOTS"id17,52279,52279,10817,108rf255h2:27:(29);:12000:(29)jB$"A"375lB$"B"B$"C"ī370Hn16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);" SHOULD YOU DO?" D200O E8:2:(30)"A ";:1:3,523,6817,6817,523,52 J(30)"TAKE SQUARE ROOTS OF THE TWO SQUARES" O10:2:(30)"B ";:3,683,8817,8817,683,68 T(30)"TAKE THE SQUARE ROOT OF THE MIDDLE" Y11:7:"TERM",^13:HE THIRD TERM IS TWO TIMES THE" '22:2:"PRODUCT OF THEIR ROOTS. ";(30)"SO ";:(30)"B";:2:200,165200,179214,179214,165200,165 132:"IS RIGHT." 65000 ;B2::: =255:5:12:"X";(25)"2 + 22X + 121":100 @2:3:(30)"NOW WHAT600:X:0:J4456:238,J279,J:J:J120128:1,J279,J:J:255_ 16:2:(30)"WRONG";:280y 16:2:(30)"RIGHT"; 7:". ";(30)"IT HAS NO COMMON FACTOR, BUT IT" 18:2:"HAS TWO PERFECT SQUARE TERMS (121 AND" "20:2:"X";(25)"2) AND T2,10832,9218,92? 7:(30)"NEITHER (TWO BINOMIAL FACTORS)"` 32,61256,61256,10832,108i 255 7:35:(29);:12000:(29) B$"B"275 B$"A"B$"C"ī270@ 16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X1INOMIAL IS THIS?" 200N 9:4:(30)"A";:18,6118,7632,7632,6118,61{ 7:(30)"ONE WITH ONLY A COMMON FACTOR" 11:4:(30)"B";:18,7618,9232,9232,7618,76 7:(30)"A PERFECT SQUARE TRINOMIAL" 13:4:(30)"C";:18,9218,1083; THIS IS TRI QUIZ A%d368640i762,0Qn(4)"BLOAD HGRW A9080 L580"\x37024|(36860)170Ĺ36860,0:415:::B1:100:22:3:(30)"WHAT DO YOU THINK...."5:12:"X";(25)"2 + 22X + 121" 7:3:(30)"WHAT TYPE OF TRB2"NB$(B$,(B$)1):3121:X2H73E2Y1V811:Y2V83:1:X1,Y1X2,Y1X2,Y2X1,Y2X1,Y1:B$,(B$)1):12010B)ĩ100:P1:P11:P1(B$):" ";:8/(A$)32ī12010E/B$B$A$^/P1:P1(B$):" ";i/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010I1300:I:!I130:I:<100:I130:I:255:C'0|'XTVT81:1,X279,X:X:X184191:1,X279,X:X:.16368,0:B$"".P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070#.A$(13(29);"RETURN";(29);::" TO CONTINUE"/100R(16384)194Ĺ16368,0:5050q(16384)141Ĺ16368,0:{5010B5060,200,315,41536860,170:5080(4)"RUN TRICOMFAC4 (25)"(4)"PR#0":pI11000:I:zI1500:I:10:(30)"WRONG. ";(30)"TRY AGAIN.":6010:0:Y120136:84,Y133,Y:Y:Y120128:147,Y154,Y:Y:Y152186:1,Y279,Y:Y:5705000: PRESS RETURN(4)"RUN TRI QUIZ B (27)" 255::100:&16368,0:255:24:9:(30)"PRESS ";::0136:84,J133,J:J:J120128:147,J154,J:J:J152160:1,J279,J:J:570CHECK$B$(1)B$(2)B$(3)B$(4):CHECK$"X+112"CHECK$"11+X2"700:IF NEITHER ARE THERE,IT'S WRONG 22:15:(30)"RIGHT!":725 WRONG ANSWER PROCESSING22:4)B$:18:22:" "K{20:3:(30)"ARE YOU SURE? ";:(29);:12000:(29)|B$"NO"B$"N"B$"YES"B$"Y"Ģ22:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J149160:112,J279,J:J:J168176:1,J279,J:J:635M}B$"NO"B$"N"Ē0:J12B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578I7:122,146122,150:19:18:"^"N17:18:12000:B$(3)B$:19:18:" "X7:150,138150,142:18:22:"^"]16:22:12000:B$(!(4)"RUN TRICOMFAC (22)" 3,138:21:")":DRAW UNDERLINES U57:149,129154,129:UNDERLINE FOR EXPONENT x:7:87,14687,150:19:13:"^"?17:13:12000:B$(1)B$:19:13:" "B7:108,146108,150:19:16:"^"D17:16:12000:B$(2)B$:19:16:" "vGB$(2)"+". ";(30);"THE ANSWERS SHOULD BE...."_0:J6172:1,J279,J:J:J8896:1,J279,J:J:14:0:Y104120:14,Y133,Y: ERASE WRONG ANSWER MESSAGE!14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"#&17:11:"(";:7:84,13898,138:119,13813B$(2)"X"B$(3)"11"B$(4)"11")ī535[ B$(1)"X"B$(2)"X"B$(3)"11"B$(4)"11"54014:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:1,Y279,Y:Y0:Y88114:1,Y279,Y::ERASE QUESTION T1:435%14:3:(30);"WRONG AGAIN:(29);:12000:(29)^B$"NO"B$"N"Ē0:Y6172:1,Y279,Y::Y8896:1,Y279,Y::435xB$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:510( T1(B$(1)"X",8294,86:11:14:"^">9:14:12000:B$(2)B$:11:14:" "a7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "10012:3:(30)"ARE YOU SURE? ";69,6281,4393,62:153,62165,43177,62J1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES2557:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" "7:94 THE PERFECT SQUARE"g22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,165~16:"IS CORRECT."5000: PRESS RETURN:::B32:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"(1:":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360gr16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS OF(30)"C ";:3,883,10817,10817,883,88Fc(30)"TAKE CUBE ROOTS"gd17,52279,52279,10817,108pf255h2:27:(29);:12000:(29)jB$"A"375lB$"B"B$"C"ī370Fn16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.HOULD YOU DO?" D200M E8:2:(30)"A ";:1:3,523,6817,6817,523,52~ J(30)"TAKE SQUARE ROOTS OF THE TWO SQUARES" O10:2:(30)"B ";:3,683,8817,8817,683,68 T(30)"TAKE THE SQUARE ROOT OF THE MIDDLE" Y11:5:"TERM"*^13:2: THIRD TERM IS TWO TIMES THE" '22:2:"PRODUCT OF THEIR ROOTS. ";(30)"SO ";:(30)"B";:2:200,165200,179214,179214,165200,165 133:"IS RIGHT." 65000 ;B2::: =255:5:12:"X";(25)"2 + 22X + 121":100 @2:3:(30)"NOW WHAT S0:X:0:J4456:238,J279,J:J:J120128:1,J279,J:J:255] 16:2:(30)"WRONG";:280w 16:2:(30)"RIGHT"; 7:". ";(30)"IT HAS NO COMMON FACTOR, BUT IT" 18:2:"HAS TWO PERFECT SQUARE TERMS (121 AND" "20:2:"X";(25)"2) AND THE10832,9218,92= 7:(30)"NEITHER (TWO BINOMIAL FACTORS)"^ 32,61256,61256,10832,108g 255 7:35:(29);:12000:(29) B$"B"275 B$"A"B$"C"ī270> 16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X160OMIAL IS THIS?" 200L 9:4:(30)"A";:18,6118,7632,7632,6118,61y 7:(30)"ONE WITH ONLY A COMMON FACTOR" 11:4:(30)"B";:18,7618,9232,9232,7618,76 7:(30)"A PERFECT SQUARE TRINOMIAL" 13:4:(30)"C";:18,9218,10832, ** TRI QUIZ A (26) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024z(36860)170Ĺ36860,0:::B1:100:22:3:(30)"WHAT DO YOU THINK...."5:12:"X";(25)"2 + 22X + 121" 7:3:(30)"WHAT TYPE OF TRIN           0.S$"YES"S$"Y"ĺ(30);"RIGHT. ";:95013:1:(30);"PLEASE ENTER YES OR NO":I1600:I:0:I96104:1,I270,I:I:I8088:1,I270,I:I:920(30);"ONE OF THE CONDITIONS WE LOOKED"15:1:"AT APPLIES TO IT."17:1:(30);"WHI HAVE THE FACTORED FORM.")z4000:5000R2:1:(30);"WHAT DO YOU THINK...."|6:9:"3X";(25);"2 + 12X - 45 - 6Y"16368,011:1:(30);"CAN THIS MULTINOMIAL BE FACTORED? ";:12000:S$B$13:1:S$"NO"S$"N"ĺ(30);"WRONG. ";:95/.A$(13)ĩ100:P1:P11:P1(B$):" ";:D/(A$)32ī12010Q/B$B$A$j/P1:P1(B$):" ";u/12010&/(B$)1B$"":120100/B$(B$,(B$)1):120100/B$(B$,(B$)1):12010@1500:I:I1300:I:-I130:I:H100:I130:I:255:O'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:.16368,0:B$"".P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(8)ī12070RESS ";::(29);"RETURN";(29);::" TO CONTINUE";100^(16384)194Ĺ16368,0:5050}(16384)141Ĺ16368,0:5010B5060,200,315,41536860,170:5080(4)"RUN TRICOMFAC4 (25)"(4)"PR#0":pI11000:I: zI5 WRONG ANSWER PROCESSING22:10:(30)"WRONG. ";(30)"TRY AGAIN.":6010:0:Y120136:1,Y279,Y:Y:Y152186:1,Y279,Y:Y:5505000: PRESS RETURN(4)"RUN TRI QUIZ B (27)" 255::100:216368,0:255:24:9:(30)"P9,J:J:635u}B$"NO"B$"N"Ē0:J120136:84,J133,J:J:J120128:147,J154,J:J:J152160:1,J279,J:J:570CHECK$B$(1)B$(2)B$(3)B$(4):CHECK$"X+112"CHECK$"11+X2"700:IF NEITHER ARE THERE,IT'S WRONG 22:15:(30)"RIGHT!":72,142:18:22:"^":]16:22:12000:B$(4)B$:18:22:" "s{20:3:(30)"ARE YOU SURE? ";:(29);:12000:(29) |B$"NO"B$"N"B$"YES"B$"Y"Ģ22:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J149160:112,J279,J:J:J168176:1,J270:B$(2)B$:19:16:" "GB$(2)"+"B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578I7:122,146122,150:19:18:"^"N17:18:12000:B$(3)B$:19:18:" "X7:150,138150:11:"(";:7:84,13898,138:119,138133,138:21:")":DRAW UNDERLINES }57:149,129154,129:UNDERLINE FOR EXPONENT :7:87,14687,150:19:13:"^"?17:13:12000:B$(1)B$:19:13:" "B7:108,146108,150:19:16:"^"D17:16:1200. ";(30);"THE ANSWERS SHOULD BE...."C0:J6472:1,J279,J:J9:10:"X";:1:81,68:14:"X";:21:"11";:163,68:25:"11"0:Y88120:1,Y279,Y:Y:ERASE WRONG ANSWER MESSAGE !14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"K&17B$(2)"X"B$(3)"11"B$(4)"11")ī535[ B$(1)"X"B$(2)"X"B$(3)"11"B$(4)"11"54014:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:1,Y279,Y:Y0:Y88114:1,Y279,Y::ERASE QUESTION T1:435%14:3:(30);"WRONG AGAIN:(29);:12000:(29)^B$"NO"B$"N"Ē0:Y6172:1,Y279,Y::Y8896:1,Y279,Y::435xB$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:510( T1(B$(1)"X",8294,86:11:14:"^">9:14:12000:B$(2)B$:11:14:" "a7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "10012:3:(30)"ARE YOU SURE? ";69,6281,4393,62:153,62165,43177,62J1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES2557:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" "7:94 THE PERFECT SQUARE"g22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,165~16:"IS CORRECT."5000: PRESS RETURN:::B32:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"(1:":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360gr16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS OF(30)"C ";:3,883,10817,10817,883,88Fc(30)"TAKE CUBE ROOTS"gd17,52279,52279,10817,108pf255h2:27:(29);:12000:(29)jB$"A"375lB$"B"B$"C"ī370Fn16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.HOULD YOU DO?" D200M E8:2:(30)"A ";:1:3,523,6817,6817,523,52~ J(30)"TAKE SQUARE ROOTS OF THE TWO SQUARES" O10:2:(30)"B ";:3,683,8817,8817,683,68 T(30)"TAKE THE SQUARE ROOT OF THE MIDDLE" Y11:7:"TERM"*^13:2: THIRD TERM IS TWO TIMES THE" '22:2:"PRODUCT OF THEIR ROOTS. ";(30)"SO ";:(30)"B";:2:200,165200,179214,179214,165200,165 132:"IS RIGHT." 65000 ;B2::: =255:5:12:"X";(25)"2 + 22X + 121":100 @2:3:(30)"NOW WHAT S0:X:0:J4456:238,J279,J:J:J120128:1,J279,J:J:255] 16:2:(30)"WRONG";:280w 16:2:(30)"RIGHT"; 7:". ";(30)"IT HAS NO COMMON FACTOR, BUT IT" 18:2:"HAS TWO PERFECT SQUARE TERMS (121 AND" "20:2:"X";(25)"2) AND THE10832,9218,92= 7:(30)"NEITHER (TWO BINOMIAL FACTORS)"^ 32,61256,61256,10832,108g 255 7:35:(29);:12000:(29) B$"B"275 B$"A"B$"C"ī270> 16:8:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X160OMIAL IS THIS?" 200L 9:4:(30)"A";:18,6118,7632,7632,6118,61y 7:(30)"ONE WITH ONLY A COMMON FACTOR" 11:4:(30)"B";:18,7618,9232,9232,7618,76 7:(30)"A PERFECT SQUARE TRINOMIAL" 13:4:(30)"C";:18,9218,10832, ** TRI QUIZ A (26) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024z(36860)170Ĺ36860,0:::B1:100:22:3:(30)"WHAT DO YOU THINK...."5:12:"X";(25)"2 + 22X + 121" 7:3:(30)"WHAT TYPE OF TRIN         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$Ȫ% im  20      OLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCcx#VLOC1:HLOC:BL$;:9000:HLOC:C$i#p'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:1VT81:1,X279,X:X:X184191:1,X279,X:X:BI:255:(#I130:I:62#VOLD:HOLD:BL$;:9000]<#VOLDVOLD1:VOLD:HOLD:C$;:9000sA#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:9060Z#HLOCHLOC1d#HLOC:BL$;n#VLOCV384)194Ĺ16368,0:50507(16384)141Ĺ16368,0:A5010aB5060,200,290,555,720,800v36860,170:5080(4)"RUN TRICOMFAC (22)"(4)"PR#0":pI11000:I:zI1500:I:I1300:I:I130:I: 100:I130: LIKE THIS...."z50008(4)"RUN TRICOMFAC3 (24)"C 255: 255:23:8:(30)"PRESS ANY KEY TO CONTINUE":16368,0:A$:100::100:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16DRAW UNDERLINES 'a14:18:"( )"|f7:141,107145,107:143,105143,109:141,111145,111: DRAW 2ND PLUS-MINUS SIGNk126,113140,113:147,113161,113: DRAW 2ND UNDERLINESp17:2:"....WE CAN START THE TRIAL-AND-ERROR"u19:6:"PROCESSC7:2:"FACTORS OF THIS TRINOMIAL...."KH10:13:"X";(25)"2 + 5X + 6"vM12:2:"....WILL BE IN THIS FORM...."R14:11:"( )";W7:93,10797,107:95,10595,109:93,11197,111: DRAW PLUS-MINUS SIGN\77,11391,113:98,113112,113: $"A":L5:80009 +H118:C1$"A":H221:C2$"T":L3:8000c ,H119:C1$"L":H220:C2$"U":L1:8000n -(29) 09:3:(30);"NOW, YOU SHOULD KNOW EVERYTHING YOU" 211:3:"EVER WANTED TO KNOW ABOUT FACTORING." 715:15::(29);"GOODBYE!";(29):SNOITALUTARGNOC"; %H112:C1$"!":H227:C2$"C":L15:8000f &H113:C1$"S":H226:C2$"O":L13:8000 'H114:C1$"N":H225:C2$"N":L11:8000 (H115:C1$"O":H224:C2$"G":L9:8000 )H116:C1$"I":H223:C2$"R":L7:8000 *H117:C1$"T":H222:C2 ** END **D$(4)(762,0336864SD$;"BLOAD HGRW A9080 L580"^37024t::0:1:5:255230,64:62450 I140:1:I:"*";:II124:I:1:"*";:40:"*":II140:24:I:"*";:I#100 $5:12:(29);"!    B5:::%255L*1:7:(29)"TWO BINOMIAL FACTORS ";(29)"CONT'D"U+100~/5:41,11231,11: DRAW HEADING LINE46000: PAUSE93:2:(30)"THIS METHOD IS LARGELY ONE OF TRIAL">5:2:"AND ERROR. ";(30)"SINCE WE KNOW THAT THE"(:(30)"FOR EXAMPLE,"812:14:"X";(25)"2 + 5X + 6"l14:2:"DOES NOT HAVE A COMMON FACTOR, NOR IS"16:4:"IT A PERFECT SQUARE TRINOMIAL." 18:2:(30)"IF IT CAN BE FACTORED AT ALL, IT HAS"20:4:"TO BE BY THIS METHOD."5000 5000B4:::!255Q1:8:(29)"3).TWO BINOMIAL FACTORS";(29)f5:49,11211,11o100y60003:3:(30)"IF THE FIRST TWO POINTS DON'T APPLY,"5:5:"TRY TO FACTOR IT INTO TWO BINOMIAL"7:5:"FACTORS."9:2:" ":9:32:" "J10:H32181:H:"3X";:6030:H:" ";:6030:H[9:18:"3X"9:12:"(";:16:"+";:20:")"100600022:2:(30)"SQUARE IT, AND IT'S FACTORED."9:21:(25)"2"5:71,58151,58151,7671,7671,58G"/18:4:"THE SAME SIGN AS THE REMAINING"F20:4:"TERM...."O2559:11:"5A":8:9:" ":10:11:" ":9:11:" "10:H1113:H:"5A";:6040:H:" ";:6040:H:MOVE 5A 9:13:"5A"9:32:"3X":8:30:" ":10:32ERMS...."]6010Kb5:49,5019,5019,6415,60:DRAW SQUARE ROOT SIGN jg8:4:"25A";(25)"2 = 5A"l5:197,50171,50171,64167,60:DRAW 2ND RADICAL q8:26:"9X";(25)"2 = 3X"v6000{16:2:(30)"AND MAKE THEM INTO A BINOMIAL, USIN)"CONT'D"4100'55:21,11245,11I:3:2:(29)"EXAMPLE 2";(29)y?6:11:"25A";(25)"2 + 30AX + 9X";(25)"2"D5:1,84279,84: DRAW MIDDLE LINEN6000S12:2:(30)"TAKE THE SQUARE ROOTS OF BOTH OF THE" X14:4:"PERFECT SQUARE T9:13:"(";:16:"+";:19:")"X19:2:(30)"THE FACTORED FORM IS THIS BINOMIAL,"o21:4:"SQUARED."!9:20:(25)"2""1:79,58143,58143,7579,7579,58&5000+B3:::/255 01:4:(29)"PERFECT SQUARE TRINOMIALS ";(29INING TERM."@9:9:"X":8:7:" ":10:9:" ":9:9:" "q10:H914:H:"X";:6030:H:" ";:6030:H9:14:"X"9:29:"2":8:27:" ":10:29:" ":9:29:" "10:H29181:H:"2";:6030:H:" ";:6030:H 9:18:"2"!S....": 1:39,5017,5017,6413,60:SQUARE ROOT SIGN V 8:4:"X";(25)"2 = X" 1:179,52165,52165,64161,60:SQUARE ROOT SIGN 8:25:"4 = 2" 15:2:(30)"AND MAKE THEM INTO A BINOMIAL, WITH" 17:4:"THE SAME SIGN AS THE REMAINDEED"3 15:7:"TWO TIMES THEIR SQUARE ROOTS."g 17:7:(30)"SO WE KNOW IT'S A PERFECT SQUARE" 19:7:"TRINOMIAL." 5000 T70:VT19:10000 11:2:(30)"NOW WE TAKE THE SQUARE ROOTS OF BOTH" 13:4:"OF THE PERFECT SQUARE TERM0% T11:2:(30)"THE X";(25)"2 "K ^1:39,7359,7359,9139,9139,73g h11:11:"AND THE 4 "; r129,77145,77145,91129,91129,77 |" ARE PERFECT" 13:7:"SQUARES, AND THE 4X "; 1:165,92185,92185,107165,107165,92 " IS 25)"D POWER." 6020Q 13:2:(30)"THE SIGN IN BETWEEN IS THE SAME AS THE"{ 15:4:"SIGN OF THE REMAINING TERM." 5000 "B2::: ,3:2:(30)"LET'S TAKE THIS EXAMPLE...." 66:11:"X";(25)"2 + 4X + 4" @2:1,71279,71 J600(30)"THE FACTORED FORM OF A PERFECT SQUARE"Z 5:4:"TRINOMIAL IS ALWAYS A BINOMIAL," 7:4:"CONSISTING OF THE ";(29);::"SQUARE ROOTS";(29);::35:"OF" 9:4:"THE TWO PERFECT SQUARE TERMS, AND" 11:4:"RAISED TO THE 2";(25);"N";( ** TRICOMFAC2 (23) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024(36860)170Ĺ36860,0:800B1:40002551:4:(29)"PERFECT SQUARE TRINOMIALS ";(29)"CONT'D"5:21,11245,11100:6000- 3:2:        z#    Š ŠŠŠ ɠڠàԠĠנ̵Ҵ Ҡ!īŠ Ϡàòóôɠڠɠڠ Y THIS METHOD."5000' B5:::0%255f*1:7:(29)"TWO BINOMIAL FACTORS ";(29)"CONT'D"o+100/5:41,11231,11: DRAW HEADING LINE46000: PAUSE93:2:(30)"THIS METHOD IS LARGELY ONE OF TRIAL">5:2:"AND ERROR. ";(30)"7:5:"FACTORS."/9:2:(30)"FOR EXAMPLE,"R12:14:"X";(25)"2 + 5X + 6"14:2:"DOES NOT HAVE A COMMON FACTOR, NOR IS"16:4:"IT A PERFECT SQUARE TRINOMIAL." 18:2:(30)"IF IT CAN BE FACTORED AT ALL, IT HAS"20:4:"TO BE B157,49157,6893,6893,49$50002B4:::;255k1:8:(29)"3).TWO BINOMIAL FACTORS";(29)5:49,11211,1110060003:3:(30)"IF THE FIRST TWO POINTS DON'T APPLY,"5:5:"TRY TO FACTOR IT INTO TWO BINOMIAL":"3X":9:32:" "J10:H32191:H:"3X";:6030:H:" ";:6030:Hu9:19:"3X":9:19:" ":8:19:"3X"8:15:"(";:18:"+";:21:")"100600022:2:(30)"SQUARE IT, AND IT'S FACTORED."8:22:(25)"2"1:93,49SIGN AS THE REMAINING"-20:4:"TERM...."6255o9:11:"5A":8:11:" ":10:11:"5A":9:11:" "10:H1116:H:"5A";:6040:H:" ";:6040:H: MOVE 5A9:16:"5A":9:16:" ":8:16:"5A"9:32:"3X":8:32:" ":10:3249,5019,5019,6415,60: DRAW SQUARE ROOT SIGNPg8:4:"25A";(25)"2 = 5A"l7:197,49173,49173,64169,60: DRAW 2ND RADICALq8:26:"9X";(25)"2 = 3X"v6000{16:2:(30)"AND MAKE THEM INTO A BINOMIAL, USING"18:4:"THE SAME 21,11245,11.:3:2:(29)"EXAMPLE 2";(29)^?6:11:"25A";(25)"2 + 30AX + 9X";(25)"2"D5:1,84279,84: DRAW MIDDLE LINEN6000S12:2:(30)"TAKE THE SQUARE ROOTS OF BOTH OF THE"X14:4:"PERFECT SQUARE TERMS...."]60101b7:9:")"=19:2:(30)"THE FACTORED FORM IS THIS BINOMIAL,"T21:4:"SQUARED."i!9:20:(25)"2""1:79,58143,58143,7579,7579,58&5000+B3:::/25501:4:(29)"PERFECT SQUARE TRINOMIALS ";(29)"CONT'D"4100 55::"X":8:9:" ":9:9:" ":10:9:"X"X10:H914:H:"X";:6030:H:" ";:6030:Hh9:14:"X"9:29:"2":9:29:" ":10:29:"2":9:29:" "10:H29181:H:"2";:6030:H:" ";:6030:H 9:18:"2"9:13:"(";:16:"+";:1,5017,5017,6413,60: SQUARE ROOT SIGND 8:4:"X";(25)"2 = X"x 179,52165,52165,64161,60: SQUARE ROOT SIGN 8:25:"4 = 2" 15:2:(30)"AND MAKE THEM INTO A BINOMIAL, WITH" 17:4:"THE SAME SIGN AS THE REMAINING TERM."'9:97:"TWO TIMES THEIR SQUARE ROOTS."V 17:7:(30)"SO WE KNOW IT'S A PERFECT SQUARE"o 19:7:"TRINOMIAL."y 5000 T70:VT19:10000 11:2:(30)"NOW WE TAKE THE SQUARE ROOTS OF BOTH" 13:4:"OF THE PERFECT SQUARE TERMS...."( 3:39(30)"THE X";(25)"2 "< ^1:39,7359,7359,9139,9139,73X h11:10:"AND THE 4 "; r123,77137,77137,91123,91123,77 |"ARE PERFECT" 13:7:"SQUARES, AND THE 4X "; 1:165,92185,92185,107165,107165,92 "IS INDEED"" 15: 6020B 13:2:(30)"THE SIGN IN BETWEEN IS THE SAME AS THE"l 15:4:"SIGN OF THE REMAINING TERM."v 5000 "B2::: ,3:2:(30)"LET'S TAKE THIS EXAMPLE...." 66:11:"X";(25)"2 + 4X + 4" @2:1,71279,71 J6000 T11:2:8VLpHL(10D:" ":5I:H2:C2$:I` JI1L:7:H1I1:" ":7:H1I:C1$:3:H2I1:" ":3:H2I:C2$:I TI12:8I:H2:" ":7I:H2:C1$:2I:H1:" ":3I:H1:C2$:I ^100:BNHHV$/12C BNH0HxVI2 <21:6:(30);"IF YOU WANT TO GO BACK TO THE"m F22:9:"BEGINNING PRESS ";::(29);"RETURN";(29);: PI11000:(16384)141ī86 SI U90 V(4):(4)"RUN POLYDEF 1,D1" Z::: @255:I12:4I:H1:" ":5I:H1:C1$:6I:H2"Y"ĺ(30);"RIGHT. ";:18613:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:I7688:252,I279,I:I:I96104:1,I279,I:I:179(30);"ONE OF THE CONDITIONS WE LOOKED"15:1:"AT APPLIES TO IT."17:1:(30);"WHICH ONE IS IT? "."274:28492:1:(30);"WHAT DO YOU THINK...."c6:9:"3X";(25);"2 + 6X - 45 - 12Y"p16368,011:3:(30);"CAN THIS MULTINOMIAL BE FACTORED?"11:37:306:S$B$13:1:S$"NO"S$"N"ĺ(30);"WRONG. ";:186S$"YES"S$15169,98:33:", A"V16:2:"BINOMIAL WHICH IS A ";(29);"DIFFERENCE";(29);" OF"y18:2:(29);"SQUARES.";(29)20:2:(30);"WHEN WE FACTOR THAT...."7:6:(91);"(X - 2)(X + 2)] + (3X + 8)"22:2:(30);"WE HAVE THE FACTORED FORM:"- 4":IXI19:3:15I:" ":3:16I:"+ 8":7:26I:" ":7:25I:"- 4":II12:2I:25:" ":3I:25:"+ 8":8I:16:" ":7I:16:"- 4":I:10014:11:"WHICH REVEALS";:26:"X";(25)"2 - 4";:1:169,98221,98221,115169,1EXAMPLE 2";(29)75:13:"X";(25);"2 + 8 + 3X - 4"m10:2:(30);"AT FIRST, WE DON'T SEE ANY COMMON"12:2:"FACTORS, SO WE TRY TO REARRANGE THE"14:2:"TERMS...." 255:I12:6I:16:" ":5I:16:"+ 8":4I:25:" ":5I:2517:26:" ":296Y0:I124136:77,I245,I:I:17:9:" (B";(25);"2 + 2B)"23:2:(30);"WE HAVE THE FACTORED FORM."274:2842551:7:(29);"GROUPING THE TERMS";(29);" CONT'D":6:41,9217,91003:2:(29);"z19:2:(30);"WE HAVE";:11:"(A-2)";:2:66,142108,142108,15666,15666,142:18:"WRITTEN TWICE."|21:2:(30);"BY APPLYING THE DISTRIBUTIVE LAW...."~C$"(A - 2)":BL$" ":NH2:H14:V17:29417:14:" ":296H25:294%lC$"2B":BL$" ":NH22:H25:294Jn17:25:" ":17:26:"A":296XpH31:294zr17:31:" ";:31:"2 ":296tI1100:Iv0:I128136:1,I270,I:I:16:5:" ":17:12:"B";(25);"2(A - 2) + 2B(A - 2)"xI144152:1,I270,I:Ig2:"LOOKS SIMPLER WRITTEN AS...."^`17:6:"(AB";(25);"2 - 2B";(25);"2) + (2AB - 4B) b19:2:(30);"NOW WHEN WE REMOVE COMMON FACTORS...."dC$"B2":BL$"  ":NH4:H8:V17:294f17:8:"  ":296hH14:294j17:14:"  "::296(29) R6:70,9196,9O T3:2:(30);"A SEEMINGLY COMPLICATED MULTINOMIAL" V5:2:"CAN BE MADE SIMPLER BY GROUPING SOME" X7:11:"OF ITS TERMS." Z9:2:(30);"FOR EXAMPLE...." \11:10:"AB";(25);"2 - 2B";(25);"2 + 2AB - 4B"!^13:10:V14:294 614:10:" ". 814:10:"2"7 :296E <H15:294V >14:15:" "g @14:15:"4"p B296~ DH20:294 F14:20:" ":296 HH26:294 J14:25:" " L14:26:"5":296 N274:284 P1:11:(29);"GROUPING THE TERMS";AKING A COMMON FACTOR OUT OF A"N *4:3:"MULTINOMIAL IS THE SAME AS TAKING"~ ,6:3:"ONE OUT OF ANY OTHER TYPE OF POLY-" .8:3:"NOMIAL, SO WE WON'T DISCUSS IT IN" 010:3:"DEPTH." 214:9:"(4A + 8Y + 2B + 10C)" 4C$"2":BL$" ":NH7:H:2:(30);"IF YOU APPLY THE SECOND RULE, YOU MAY"w 17:2:"END UP WITH A FACTORABLE ";(29);"BINOMIAL ";(29);"OR" "19:2:(29);"TRINOMIAL. I";(29);"F YOU DO, JUST FACTOR THEM" $21:2:"LIKE YOU'VE LEARNED." &274:284 (2:3:(30);"TS TO FACTOR A"; 5:2:"MULTINOMIAL. ";(30);"THEY ARE:"o 8:5:"1) ";(30);"TAKING OUT A COMMON FACTOR" 10:5:"2) ";(30);"FACTORING BY GROUPING THE":11:15:"TERMS." 2:24,6824,52234,52234,6824,68:24,6824,92234,92234,682 15 ** MULT (29) **#D$(4).762,0936864Z (4)"BLOAD HGRW A9080 L580"e 37024(36860)170Ĺ36860,0:282::284:B1:0:1:5:1001:13:(29);"MULTINOMIALS";(29):84,9168,9 3:2:(30);"THERE ARE ONLY TWO WAY       13366,13366,16310,16310,133:18:3:(30)"TWO ARE"P19:3:"PERFECT"f20:3:"SQUARES"66,138102,138:6010102,138102,145:6010102,14596,14596,157:102,145116,145116,1576010102,138172,138:6010172,13. ";(30)"AND THE REMAINING TERM IS"zk12:8::(29)"TWO TIMES";(29);::18:"THE ";(29);::"SQUARE ROOTS";(29);:p14:8:"OF THE OTHER TWO."u6000z16:3:(30)"FOR EXAMPLE...."20:15:"X";(25)"2 + 4X + 4"60002:10,FECT SQUARE WHEN...."A6010IC5:17,35263,35263,11517,11517,35SH6010R6:4:"1). ";::(29)"ANY TWO";(29);::16:"OF ITS THREE TERMS ARE"W8:8::(29)"PERFECT SQUARES";(29);::","\5:263,6817,68a6000$f10:4:"2)THE FACTORED FORM."\255:7:10:" ";(25)" ";:10:"(X";(25)"2 + X + 1)"f5000t B4:4000}%255*1:5:(29)"2).PERFECT SQUARE TRINOMIALS";(29)/5:28,11224,11410096000>3:1:(30)"A TRINOMIAL IS A PER$"X":BL$" ":VUP5:VDOWN7:NH8:H12:V7:8000T7:13:(25);BL$;:13:(25)"2"^8020wVUPVUP1:H18:80007:19:(25);BL$8020VUPVUP1:H24:80007:24:BL$;:24:"1"8020 600019:2:(30)"AND SO WE HAVE 1:H17:80007:17:BL$'8020@VUPVUP1:H23:8000P7:23:BL$Z8020j6010:602015:2:(30)"THEN WE TAKE THE COMMON X"1:179,109193,109193,123179,123179,10915:30:"OUT OF"17:4:"EACH TERM...."/C(30)"FIRST, WE SEE A COMMON 2"L{1:171,77185,77185,91171,91171,77e11:28:" AND TAKE"13:4:"IT OUT OF EACH TERM...."7:10:"(";:25:")"C$"2":BL$" ":VUP5:VDOWN7:NH7:H11:V7:80007:11:BL$8020 VUPVUP5000&B3:4000K0255:1:8:(29)"COMMON FACTORS ";(29)"CONT'D"`55:49,11197,11i:100s?6000D3:2:(29)"EXAMPLE 2";(29)S6010X7:11:"2X";(25)"3 + 2X";(25)"2 + 2X"b6010l1:1,75279,75q6000!v11:2:20*VUP9:VDOWN11:H17:NH9:V11:8000;11:17:BL$E8020^VUPVUP1:H22:8000o11:22:BL$y8020600019:2:(30)"AND YOU HAVE ITS FACTORED FORM."255:11:11:" ";:12:18:" ":11:11:"(X + Y + Z)"AROUND IT...." 60103 11:11:"(";:24:")"= 6010l 17:2:(30)"AND TAKE OUT THE COMMON A " 2:178,125192,125192,139178,139178,125 17:29:"...." C$"A":BL$" ":VUP9:VDOWN11:H12:NH9:V11:8000 11:12:BL$801 m100 r6000F w3:2:(30)"TAKING A COMMON FACTOR OUT OF A"t |5:2:"TRINOMIAL IS JUST LIKE TAKING IT" 7:2:"OUT OF A BINOMIAL...." 6010 11:12:"AX + AY + AZ" 1:1,100279,100 6000 15:2:(30)"PUT PARENTHESES 9 @18:2:(30)"IF YOU CAN'T APPLY ANY OF THE POINTS,"h E20:4:"THE TRINOMIAL IS IN ITS FACTORED"} J22:16:"FORM." T6010 Y5000 ^B2:4000 c255:1:4:(29)"1).COMMON FACTORS";(29)" IN ";(29)"TRINOMIALS";(29) h5:21,11238,1;(30)"SEE IF IT IS A ";(29)"PERFECT SQUARE"L 11:9:"TRINOMIAL,";(29)^ 263,9219,92h 6000 "13:4:"3).";(30)"AND IF NEITHER ARE TRUE, SEE" '14:9:"IF IT CAN BE FACTORED INTO" ,15:9:(29)"TWO BINOMIAL FACTORS.";(29) 66000)"TRINOMIAL";(29)" THERE ARE"M 5:2:"THREE POINTS YOU SHOULD CHECK...."W 6010 1:19,53263,53263,12519,12519,53 6010 8:4:"1).";(30)"SEE IF IT HAS A ";(29)"COMMON FACTOR";(29)"," 263,6819,68 6000- 10:4:"2)."{ ** TRICOMFAC (22) **'d368642i762,0Sn(4)"BLOAD HGRW A9080 L580"^x37024~(36860)170Ĺ36860,0:800B1:4000255:1:15:(29)"TRINOMIALS"5:98,11168,11100:6000 3:2:(29);(30)"IN FACTORING A ";(29          8)""(4);"PR#0":'$I130:I:>&255:V1:H:C$:(292:V1:H:BL$:292:V2:H:C$;:292:H:BL$: MOVES CHAR. REST OF WAY UP AND ERASES IT *292:VLOCV2:VLOC:HLOCH1NH1:HLOC:C$;:292:HLOC:BL$;:292:HLOC7 ,V2:HLOC"\16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE":100~(16384)194Ĺ16368,0:282(16384)141Ĺ16368,0:276B286,14,38,78230,64:62450:36860,170:290 (4);"RUN TRI QUIZ C (2ATED A"G17:2:(29);"TRINOMIAL";(29);" WHICH CAN BE FACTORED BY"z 19:2:"ITSELF INTO TWO BINOMIAL FACTORS...." 8:6:"= 3";(91);"(X + 5)(X - 3) - 4Y]":64,66160,6621:2:(30);"NOW IT IS COMPLETELY FACTORED."274:(4)"RUN END247013:2:S$"NO"S$"N"ĺ(30);"RIGHT. ";WS$"YES"S$"Y"ĺ(30);"WRONG. ";(30);"IF WE GROUP TOGETHER THE FIRST"15:2:"THREE TERMS....";6:8:" ";:8:(91);"(";:22:")";:28:"] ":7:57,50154,5015:17:"WE HAVE CRE0:I80136:1,I270,I:IQ11:2:(30);"IS IT COMPLETELY FACTORED NOW?"h11:33:306:S$B$S$"YES"S$"Y"S$"NO"S$"N"ī25214:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:I7688:224,I279,I:I:I104112:1,I279,I:I: BE TAKEN OUT OF EACH"-17:4:"TERM...."F6:8:"(";:29:")"{C$"3":BL$" ":NH6:H9:V6:294:6:9:" ":296H15:294:6:15:" ":6:15:"2":296H19:294:6:20:" ":6:20:"15":296H26:294:6:25:" ":6:26:"4":296S$"B"ĺ(30);"WRONG. ";@(30);"THERE IS A COMMON FACTOR,"i13:4:"WHICH IS....? ";:306:S$B$15:1:S$"3"ĺ(30);"RIGHT. ";S$"3"ĺ(30);"WRONG. ";(30);"A";:11:"3";2:64,10882,10882,12464,12464,10814:"CAN17:18:306:S$B$20:S$"A"S$"B"ī21223:11:(30);"PLEASE TYPE ";(29);"A ";(29);"OR ";(30);"B.":I1600:I:I125136:119,I279,I:I:J176184:1,J279,J:J:206I80172:1,I275,I:I11:1:S$"A"ĺ(30);"GOOD. ";20019:6:(30);"A";J2:32,14046,14046,15632,15632,140w9:(30);"COMMON FACTOR CAN BE REMOVED"21:6:(30);"B";32,15632,17246,17246,1569:(30);"TERMS CAN BE GROUPED"46,140256,140256,17246,172100OC*x#VLOC1:HLOC:BL$;:9000:HLOC:C$0#7'0z'X(S1)8VT81:1,X279,X:X:X176191:1,X279,X:X:S0:<#VOLDVOLD1:VOLD:HOLD:C$;:9000:A#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:9060Z#HLOCHLOC1d#HLOC:BL$n#VLOCVOLDVNOW:VLOC:HLOC:C$:9000:VLOC:HLOC:BL$:9000:VLVUP:HLOCHNH1:HLOC:C$;:6030:HLOC:BL$;:6030:HLOCJcHLOCHLOC1bhVUP:NH:BL$:6030pmVUPVUP1rVLOCVUPVDOWN1:NH:VLOC:C$;:6030:NH:VLOC:BL$;:6030:VLOCwVDOWN:NH:C$|(#I130:I:2#VOLD:HOLD:BL$;:9000$(17),D1"(4)"PR#0":-pI11000:I:?zI1500:I:QI1300:I:bI130:I:}100:I130:I:255:@V1:H:C$JT6030:V1:H:BL$:6030YVLOCV1VUP1:VLOC:H:C$;:6030:VLOC:H:BL$;:6030:VLOC:HH1:^ :100:a16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"j100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010B5060,200,350,550,80036860,170:5080(4)"RUN BI QUIZ2A 232,163232,174:60103232,174140,174:6010N140,174140,166:6010140,166128,166128,155:140,166152,166152,1555000$(4)"RUN TRICOMFAC2 (23)" 255: 255:23:8:(30)"PRESS ANY KEY TO CONTINUE":16368,0:A$:100:8172,149:6010E172,149166,149166,157:172,149178,149178,157O6000|192,124270,124270,163192,163192,124601017:29:(30)"OTHER TERM"18:29:"IS 2 TIMES"19:29:"THEIR SQU-"20:29:"ARE ROOTS."6020  B5:::%255L*1:7:(29)"TWO BINOMIAL FACTORS ";(29)"CONT'D"U+100~/5:41,11231,11: DRAW HEADING LINE46000: PAUSE93:2:(30)"THIS METHOD IS LARGELY ONE OF TRIAL">5:2:"AND ERROR. ";(30)"SINCE WE KNOW THAT THE"(:(30)"FOR EXAMPLE,"812:14:"X";(25)"2 + 5X + 6"l14:2:"DOES NOT HAVE A COMMON FACTOR, NOR IS"16:4:"IT A PERFECT SQUARE TRINOMIAL." 18:2:(30)"IF IT CAN BE FACTORED AT ALL, IT HAS"20:4:"TO BE BY THIS METHOD."5000 5000B4:::!255Q1:8:(29)"3).TWO BINOMIAL FACTORS";(29)f5:49,11211,11o100y60003:3:(30)"IF THE FIRST TWO POINTS DON'T APPLY,"5:5:"TRY TO FACTOR IT INTO TWO BINOMIAL"7:5:"FACTORS."9:2:" ":9:32:" "J10:H32181:H:"3X";:6030:H:" ";:6030:H[9:18:"3X"9:12:"(";:16:"+";:20:")"100600022:2:(30)"SQUARE IT, AND IT'S FACTORED."9:21:(25)"2"5:71,58151,58151,7671,7671,58G"/18:4:"THE SAME SIGN AS THE REMAINING"F20:4:"TERM...."O2559:11:"5A":8:9:" ":10:11:" ":9:11:" "10:H1113:H:"5A";:6040:H:" ";:6040:H:MOVE 5A 9:13:"5A"9:32:"3X":8:30:" ":10:32ERMS...."]6010Kb5:49,5019,5019,6415,60:DRAW SQUARE ROOT SIGN jg8:4:"25A";(25)"2 = 5A"l5:197,50171,50171,64167,60:DRAW 2ND RADICAL q8:26:"9X";(25)"2 = 3X"v6000{16:2:(30)"AND MAKE THEM INTO A BINOMIAL, USIN)"CONT'D"4100'55:21,11245,11I:3:2:(29)"EXAMPLE 2";(29)y?6:11:"25A";(25)"2 + 30AX + 9X";(25)"2"D5:1,84279,84: DRAW MIDDLE LINEN6000S12:2:(30)"TAKE THE SQUARE ROOTS OF BOTH OF THE" X14:4:"PERFECT SQUARE T9:13:"(";:16:"+";:19:")"X19:2:(30)"THE FACTORED FORM IS THIS BINOMIAL,"o21:4:"SQUARED."!9:20:(25)"2""1:79,58143,58143,7579,7579,58&5000+B3:::/255 01:4:(29)"PERFECT SQUARE TRINOMIALS ";(29INING TERM."@9:9:"X":8:7:" ":10:9:" ":9:9:" "q10:H914:H:"X";:6030:H:" ";:6030:H9:14:"X"9:29:"2":8:27:" ":10:29:" ":9:29:" "10:H29181:H:"2";:6030:H:" ";:6030:H 9:18:"2"!S....": 1:39,5017,5017,6413,60:SQUARE ROOT SIGN V 8:4:"X";(25)"2 = X" 1:179,52165,52165,64161,60:SQUARE ROOT SIGN 8:25:"4 = 2" 15:2:(30)"AND MAKE THEM INTO A BINOMIAL, WITH" 17:4:"THE SAME SIGN AS THE REMAINDEED"3 15:7:"TWO TIMES THEIR SQUARE ROOTS."g 17:7:(30)"SO WE KNOW IT'S A PERFECT SQUARE" 19:7:"TRINOMIAL." 5000 T70:VT19:10000 11:2:(30)"NOW WE TAKE THE SQUARE ROOTS OF BOTH" 13:4:"OF THE PERFECT SQUARE TERM0% T11:2:(30)"THE X";(25)"2 "K ^1:39,7359,7359,9139,9139,73g h11:11:"AND THE 4 "; r129,77145,77145,91129,91129,77 |" ARE PERFECT" 13:7:"SQUARES, AND THE 4X "; 1:165,92185,92185,107165,107165,92 " IS 25)"D POWER." 6020Q 13:2:(30)"THE SIGN IN BETWEEN IS THE SAME AS THE"{ 15:4:"SIGN OF THE REMAINING TERM." 5000 "B2::: ,3:2:(30)"LET'S TAKE THIS EXAMPLE...." 66:11:"X";(25)"2 + 4X + 4" @2:1,71279,71 J600(30)"THE FACTORED FORM OF A PERFECT SQUARE"Z 5:4:"TRINOMIAL IS ALWAYS A BINOMIAL," 7:4:"CONSISTING OF THE ";(29);::"SQUARE ROOTS";(29);::35:"OF" 9:4:"THE TWO PERFECT SQUARE TERMS, AND" 11:4:"RAISED TO THE 2";(25);"N";( ** TRICOMFAC2 (23) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024(36860)170Ĺ36860,0:800B1:40002551:4:(29)"PERFECT SQUARE TRINOMIALS ";(29)"CONT'D"5:21,11245,11100:6000- 3:2:         A$(27)A$(25)*!>A$(27)A$(25)6010G255V5:H18:C$"6X":BL$" ":HOVER26:VDOWN10:HFIN20:ST1:1100010010:18:"+"60100:Y4047:84,Y168,Y:: ERASE MULT. LINE6010:6010I6:114,47010v5:19:"X"x6010&y255h{V5:H19:C$"X":BL$" ":HOVER26:VDOWN10:HFIN16:ST1:11000q}10010:14:"+"0:Y4047:84,Y168,Y:: ERASE MULT. LINE6010:60106:114,47114,41:6030:114,41138,41:6030:138,41138X";(25)"2"X6010]255ebV5:H17:C$"X2":BL$"  ":HOVER10:VDOWN10:HFIN11:ST1:11000ne100xg6010l0:Y4048:84,Y168,Y:n6010:6010q6:86,4786,41:6030:86,41166,41:6030:166,41166,47:DRAW 2ND MULT. LINE s6:2:"EQUAL THE ORIGINAL TRINOMIAL."=D5000: PRESS RETURN[IT88:VT23:10000: ERASEK0:Y1948:84,Y161,Y:: ERASE TRINOMIAL AT TOP L6000N6:86,4886,41:6030:86,41138,41:6030:138,41138,48:DRAW 1ST MULT. LINE S5:17:"NS, SINCE ALL OF THE"C!16:2:"SIGNS IN THE ORIGINAL ARE PLUS."U&6010: PAUSE+7:15:" ";:15:"+";:22:" ";:22:"+"06010518:2:(30)"THE LAST STEP IS TO MULTIPLY THESE TWO":20:2:"BINOMIALS TOGETHER AND SEE IF THEY"$?22"LET'S TRY 6";$V20:H13:13000716:"AND 1";LV20:H21:13000^24:"FIRST."x7:17:"6";:24:"1" 5000T66:VT21:10000: ERASE12:2:(30)"NOW WE CAN CHOOSE THE SIGNS TO PUT IN."14:2:(30)"WE CAN TRY PLUS SIG6:"AND 3";/V16:H11:13000: BOX THE 3A14:"OR 6";cV16:H18:13000: BOX THE 6x21:"AND 1 ,";H26:13000: BOX THE 130:"SINCE THEY"18:2:"ARE THE POSSIBLE FACTORS OF 6 ."V18:H31:1300020:2:(30)NE410:2:(30)"SIMILARLY, TO END UP WITH 6 ";UV10:H29:13000: BOX THE 6g32:"AS THE"12:2:"LAST TERM IN THE ORIGINAL, THE LAST"14:2:"TERM OF EACH BINOMIAL MUST BE EITHER"16:3:"2";V16:H3:13000: BOXTHE 2 BOX 4TH X*27:"EQUALS X";(25)"2 ."h1:235,130255,130255,146235,146235,130: BOX 2ND X25:87,4787,40137,40137,47: DRAW LINE 5000: PRESS RETURNT64:VT19:10000: ERASE0:Y4047:84,Y168,Y:: ERASE MULT. LI101,13189,13189,117: BOX 2ND X5 Y16:16:"...."? ^6010Y c7:13:"X";:20:"X"c h6010 m18:2:"...BECAUSE X"; r1:89,134101,134101,14689,14689,134: BOX 3RD X w17:"TIMES X"; |1:159,134171,134171,146159,146159,134:"AS THE FIRST TERM"F ;12:2:"IN THE ORIGINAL TRINOMIAL, THE FIRST"{ @14:2:"TERMS OF ITS TWO BINOMIAL FACTORS MUST" E16:2:"BE X " J1:33,11745,11745,13133,13133,117: DRAW BOX AROUND 1ST X O16:9:"AND X"! T1:89,117101,11715:2:"COMPARING SOME POSSIBLE FACTORS WITH"K 17:2:"THE ORIGINAL."d 5000: PRESS RETURN T59:VT17:10000: ERASE "10:2:(30)"TO END UP WITH X";(25)"2 " ,1:115,66137,66137,83115,83115,66:PUT BOX AROUND X2 610:22:S 7:149,50153,50:151,48151,52:149,54153,54: DRAW 2ND PLUS-MINUS SIGNS ] 6010 9:2:(30)"SINCE THE TWO BINOMIAL FACTORS, WHEN" 11:2:"MULTIPLIED TOGETHER, EQUAL THE ORIGINAL" 13:2:"TRINOMIAL, WE CAN GET SOME CLUES BY"/ ;(25)"2 + 5X + 6"7 7:12:"(";:18:")(";:25:")"o 7:84,5898,58:105,58119,58: DRAW 1ST LINES 7:100,50104,50:102,48102,52:100,54104,54: DRAW 1ST PLUS-MINUS SIGN 7:133,58147,58:154,58168,58: DRAW 2ND UNDERLINES  ** TRICOMFAC3 (24) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024(36860)170Ĺ36860,0:200:::255:B11:7:(29)"TWO BINOMIAL FACTORS ";(29)"CONT'D"1005:43,11231,116000 4:13:"X"          ; /12010'&/(B$)1B$"":12010C0/B$(B$,(B$)1):12010.B$"":16368,0 .P1(A)11.P(37):255Y.P1:P1:(B$)):P1:P1:B$;" ";a.A$x.A$(27)A$(25).A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32(A$)25ī12010/B$B$A$/P1:P1(B$):" "02X1H710:X2H74:1303062X1H711:X2H73q2Y1V811:Y2V83:1:X1,Y1X2,Y1X2,Y2X1,Y2X1,Y1:60:Y4147:84,Y168,Y::B,Y::DE:C$;:6030:HE:BL$;:6030:HE: MOVES HORIZ. & ERASES LAST ONE +VEVVDOWN:VE:HOVER:C$;:6030:HOVER:BL$;:6030:: GOES DOWN +VDOWN:HEHOVERHFIN(ST):HE:C$;:6030:HE:BL$;:6030::VDOWN:HFIN:C$+2HCH7:HC2(HC2)1302,170:5080)(4)"RUN TRICOMFAC2 (23)";(4)"PR#0":NpI11000:I:`zI1500:I:rI1300:I:I130:I:100:I130:I:255:'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:C*V:H:BL$;:HEHHOVERST:H:VT21:10000: ERASE4%(4)"RUN TRICOMFAC4 (25)"? 255:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:5010B5060 36860GAIN. ";(30)"LET'S TRY 2";=V18:H20:13000: BOX THE 2P23:"AND 3";qV18:H28:13000: BOX THE 331:"INSTEAD"20:2:"OF 6"; V20:H6:13000: BOX THE 69:"AND 1 ";V20:H14:13000"...." 5000$T6612:11:"= X";(25)"2 + 7X + 6"H7:89,99169,99:UNDERLINE ANSWER R601014:2:(30)"SINCE OUR ANSWER IS NOT THE SAME AS OUR"16:2:"ORIGINAL TRINOMIAL, ";4:13:"X";(25)"2 + 5X + 6"16:22:"WE HAVE TO TRY"18:2:"A114,41:6030:114,41166,41:6030:166,41166,47:DRAW LAST MULT. LINE Y5:21:"6"c6010l255V5:H21:C$"6":BL$" ":HOVER26:VDOWN10:HFIN25:ST1:1100010010:23:"+"601014000: ERASE MULT. LINE6000 130:I:%2#VOLD:HOLD:BL$;:9000L<#VOLDVOLD1:VOLD:HOLD:C$;:9000bA#VOLD:HOLD:BL$;F#HLOCHOLDHNOWST:VOLD:HLOC:C$;:9000:HLOC:BL$;:9000:HLOCP#ST0HLOCHLOC1:9060Z#HLOCHLOC1d#HLOC:BL$*n#VLOCVOLDVNOW:VLOC:H 5010B5065,5060036860,170:5080O(4)"RUN TRICOMFAC3 (24)"d36860,170:5080(4)"RUN TRICOMFAC2 (23)"(4)"PR#0":pI11000:I:zI1500:I:I1300:I:I130:I:100:I130:I:255: (#I, THE TRINOMIAL IS FACTORED."6:5000: PRESS RETURNUD(4)"RUN TRI QUIZ A (26)"` 255:16368,0:255:24:9:(30)"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"100(16384)194Ĺ16368,0:5050(16384)141Ĺ16368,0:9)" ALSO."#!5000: PRESS RETURNX&T120:VT22:10000: ERASE BOTTOM PART OF SCREEN+16:2:(30)"WHEN NONE OF THE THREE ";(29)"TRINOMIAL";(29)" RULES"018:2:"AND NONE OF THE FOUR ";(29)"BINOMIAL";(29)" RULES CAN"520:2:"BE APPLIEDNOMIAL FACTORS."6000R 16:2:(30)"OF COURSE, IF AFTER YOU APPLY ONE OF"18:2:"THE METHODS, YOU COME UP WITH A FACTOR-"20:2:"ABLE ";(29)"BINOMIAL";(29)", YOU CAN USE THE RULES" 22:2:"WE DISCUSSED FOR ";(29)"BINOMIALS";(2ECT SQUARE"$10:9:"TRINOMIAL,"P2:24,84256,84: DRAW 2ND LINE IN BOX|2:24,84256,84: DRAW 2ND LINE IN BOX601012:5:"3). ";(30)"AND IF NEITHER ARE POSSIBLE,"13:9:"TRYING TO FACTOR IT";:29:"INTO TWO"14:9:"BI:5:"FACTORING A ";(29)"TRINOMIAL";(29)":"g2:24,44256,44256,11624,11624,44: DRAW MAIN BOX7:5:"1). ";(30)"TAKING OUT A COMMON FACTOR,"2:24,60256,60: DRAW 1ST LINE IN MAIN BOX6010 9:5:"2). ";(30)"FACTORING A PERF"IS THE CORRECT FACTORIZATION."*6010e20:1:(30)"WITH OTHER TRINOMIALS, IT MAY TAKE MANY"22:1:"TRIALS TO FIND THE RIGHT COMBINATION."5000: PRESS RETURNB2:::2:2:(30)"THUS, THERE ARE THREE POSSIBILITIES IN"-4 6000C14:2:(30)"NOW OUR ANSWER IS THE SAME AS THE"e16:2:"ORIGINAL TRINOMIAL,"4:13:"X";(25)"2 + 5X + 6"16:22:"SO (X+2)(X+3)"5:171,115249,115249,132171,132171,115:DRAW BOX AROUND FINAL ANSWER 18:2: rH21:HFIN26:C$"6":BL$" ":ST1:VDOWN10:HOVER26:V5:11000I v100Z w10:24:"+"d |6010 14000: ERASE MULT. LINE 6010:6010 12:11:"= X";(25)"2 + 5X + 6"5:87,83173,83173,10087,10087,83:DRAW BOX AROUND FINAL ANSWER:VDOWN10:HFIN21:C$"2X":BL$" ":110002 F100C J10:19:"+"M O6010k T14000: ERASE MULT. LINE{ Y6010:6010 ^5:115,47115,41:6030:115,41165,41:6030:165,41165,47:DRAW LAST MULT. LINE c6010 h5:21:"6" m6010 n255@MOVE 3X DOWN  100( 10:14:"+"2 "6010P '14000: ERASE MULT. LINE` ,6010:6010 15:115,47115,41:6030:115,41137,41:6030:137,41137,47:DRAW 3RD MULT. LINE 66010 ;5:18:"2X" @6010 D255) EST1:V5:H18:HOVER26 6010& 14000: ERASE MULT. LINE6 6010:6010 5:87,4787,41:6030:87,41165,41:6030:165,41165,47:DRAW 2ND MULT. LINE 6010 5:19:"3X" 6010 255 ST1:C$"3X":BL$" ":VDOWN10:H19:V5:HOVER26:HFIN16:11000:24:"3" 6010^ 5:87,4787,41:6030:87,41137,41:6030:137,41137,47:DRAW 1ST LINE h 6010 5:17:"X";(25)"2" 6010 255 V5:H17:C$"X"(25)"2":BL$" "(25)" ":VDOWN10:HOVER10:HFIN11:ST1:11000:MOVE X2 100 ** TRICOMFAC4 (25) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024(36865)170Ĺ36865,0:450B1 CONTINUATION OF LAST SCREEN0:Y1832:84,Y168,Y:: ERASE TRINOMIAL 7:17:" ";:17:"2";:24:" ";:     160:1,J175,J:J:575_D7:115,146115,150:19:17:"^":17:17:12000:A3$B$:19:17:" "I7:143,138143,142:18:21:"^":16:21:12000:A4$B$:18:21:" "N20:3:(30);"ARE YOU SURE?"Q20:17:(29);:12000:S$B$:(29) SS$"YES"F:7:80,14680,150:19:12:"^":17:12:12000:A1$B$:19:12:" "?7:101,146101,150:19:15:"^":17:15:12000:A2$B$:19:15:" "@A2$"+"A2$"-"ī580A20:7:(30);"PLEASE ENTER + OR -":I1600:I:0:J120136:91,J119,J:J:J1520:8:"X";(25);"3";:7:78,76:14:"X";(25);"3";:21:"8";:162,76:26:"8":X1600:Xy&0:J104112:1,J279,J:J+14:3:(30);"NOW PUT IT IN ITS FACTORED FORM...."017:10:"(";:7:77,13891,138:112,138126,138:20:")":142,129147,129J:14:10:(30);"WRONG. ";(30);"TRY AGAIN.":T1:X1600:Xz0:I6480:49,I182,I:I:I104112:1,I270,I:I:3400:J104112:1,J279,J:J14:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS....":0:I6480:49,I182,I:IY1340=17:8:(30);"PLEASE ENTER YES OR NO.":Z1600:Z:}0:J104112:112,J279,J:J:J128136:1,J279,J:J:380T1(A1$"X3"A2$"X3"A3$"8"A4$"8")ī500A1$"X3"A2$"X3"A3$"8"A4$"8"ī550=0:J104112:1,J279,J:$:12:21:" "Tr7:178,90178,94:12:26:"^":10:26:12000:A4$B$:12:26:" "vw14:3:(30);"ARE YOU SURE?"|14:17:(29);:12000:Z$B$:(29)Z$"YES"Z$"Y"ī410Z$"NO"Z$"N"Ē0:J6380:1,J279,J:J:J104112:1,J279,J:J:2:91,82105,82:140,82147,82:175,82182,82CT7:78,76:162,76^7:52,9052,94:12:8:"^":10:8:12000:A1$B$:12:8:" "h7:94,9094,94:12:14:"^":10:14:12000:A2$B$:12:14:" "m5:143,90143,94:12:21:"^":10:21:12000:A3$B3,149233,163249,163249,149233,149@ 22:14:"IS CORRECT."J 4000T "5000\ 'B2 ,2:3:(30);"NOW TAKE THE SQUARE ROOTS:" 15:11:"X";(25);"6 + 16X";(25);"3 + 64" 61:55,6475,4293,64 @145,64161,42177,64-J7:49,8263,8:"AND X";(25);"6":129,114129,130151,130151,114129,114X 16:24:"ARE PERFECT" 18:3:"SQUARES, AND 16X3":109,131109,147141,147141,131109,131 18:22:"EQUALS TWO TIMES"% 20:3:"THE PRODUCT OF THEIR ROOTS, SO ";(30);"B":23C$"A"C$"C"Ģ16:3:(30);"WRONG.":250} 16:8:(30);"PLEASE ENTER ";(29);"A,B ";(29);"OR ";(30);"C.":X1600:X 0:J4856:238,J279,J:J:J120128:1,J279,J:J:220 16:11:"64":1:67,11767,13087,13087,11767,117= 16:15PERFECT SQUARE TRINOMIAL"P 13:4:(30);"C":17,9217,10831,10831,9217,92 13:7:(30);"NEITHER (TWO BINOMIAL FACTORS)" 100 31,61255,61255,10831,108 7:35:(29);:12000:C$B$:(29) C$"B"Ģ16:3:(30);"RIGHT.":250+ 16X";(25);"3 + 64"G 7:3:(30);"WHAT TYPE OF TRINOMIAL IS THIS?"P 200 9:4:(30);"A":17,6117,7631,7631,6117,61 9:7:(30);"ONE WITH ONLY A COMMON FACTOR" 11:4:(30);"B":17,7617,9231,9231,7617,76 11:7:(30);"A B ** TRI QUIZ B (27) **)dD$(4)4n762,0?x36864^D$"BLOAD HGRW A9080 L580"i37024(36860)170Ĺ36860,0::0:1:1:100:T0: SETTINGS5000B12:3:(30);"WHAT DO YOU THINK...." 5:11:"X";(25);"6 +         +VEVVDOWN:VE:HOVER:C$;:6030:HOVER:BL$;:6030:: GOES DOWN +VDOWN:HEHOVERHFIN(ST):HE:C$;:6030:HE:BL$;:6030::VDOWN:HFIN:C$60:Y4047:84,Y168,Y::Y4047:84,Y168,Y::LOC:C$:9000:VLOC:HLOC:BL$:9000:VLOCRx#VLOC1:HLOC:BL$;:9000:HLOC:C$X#_'0'XTVT81:1,X279,X:X:X184191:1,X279,X:X:*V:H:BL$;:HEHHOVERST:HE:C$;:6030:HE:BL$;:6030:HE: MOVES HORIZ. & ERASES LAST ONE D(1)B$:19:13:" "8B7:108,146108,150:19:16:"^"aD17:16:12000:B$(2)B$:19:16:" "GB$(2)"+"B$(2)"-"Ģ20:8:(30);"PLEASE ENTER + OR -":X1600:X:0:J125136:105,J126,J:J:J152160:1,J279,J:J:578 I7:122,146122,150SWER MESSAGEB!14:3:(30)"NOW WRITE IT IN ITS FACTORED FORM:"&17:11:"(";:7:84,13898,138:119,138133,138:21:")":DRAW UNDERLINES 57:149,129154,129:UNDERLINE FOR EXPONENT :7:87,14687,150:19:13:"^"?17:13:12000:B$"X"B$(2)"X"B$(3)"11"B$(4)"11"540O *** ANSWER WAS WRONG,SO GO BACK 14:10:(30)"WRONG. ";(30)"TRY AGAIN.";:0:Y6472:63,Y182,Y:Y0:Y88114:1,Y279,Y:: ERASE QUESTION435 0:Y104120:14,Y133,Y: ERASE WRONG AN(29)OB$"NO"B$"N"Ē0:Y6172:63,Y189,Y::Y8896:1,Y279,Y::435iB$"YES"B$"Y"ī52415:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J8596:112,J279,J:J:J112120:1,J279,J:J:510  **CHECK IF CORRECT' B$(1)86:11:14:"^"79:14:12000:B$(2)B$:11:14:" "Z7:143,82143,86:11:21:"^"9:21:12000:B$(3)B$:11:21:" "7:171,82171,86:11:25:"^"9:25:12000:B$(4)B$:11:25:" "12:3:(30)"ARE YOU SURE? ";:(29);:12000:1:69,6281,4393,62:153,62165,43177,62L1:81,68:163,68:DRAW DOTS 7:63,7470,74:91,7498,74:140,74154,74:168,74182,74: DRAW UNDERLINES7:66,8266,86:11:10:"^"A09:10:12000:B$(1)B$:11:10:" "7:94,8294,OF THE PERFECT SQUARE"i22:2:"TERMS. ";(30)"SO ";(30)"A";:1:81,16581,17995,17995,16581,16516:"IS CORRECT."5000: PRESS RETURN:::B32:3:(30)"TYPE IN THEIR SQUARE ROOTS:"5:12:"X";(25)"2 + 22X + 121"*C.":X1600:X:0:J516:182,J279,J:J:J120128:1,J279,J:J:360ir16:2:(30)"WRONG. ";:380w16:2:(30)"RIGHT. ";|(30)"THE FIRST STEP IN FACTORING A"18:2:"PERFECT SQUARE TRINOMIAL IS TO TAKE THE"20:2:"SQUARE ROOTS /12010%&/(B$)1B$"":12010A0/B$(B$,(B$)1):12010!.B$"":16368,0.P1(A)1/.P(37):255W.P1:P1:(B$)):P1:P1:B$;" ";_.A$v.A$(27)A$(25).A$(8)ī12070.A$(13)ĩ100:P1:P11:P1(B$):" ";:/(A$)32(A$)25ī12010/B$B$A$/P1:P1(B$):" ";4:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"c(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050,160230,64:62450:100:36860,170:5080(4)"RUN TRI QUIZ A (26)"(4)"PR#0":160168:1,J279,J:J:645721:3:(30);"WRONG.";|10:"X";(25);"3 + 8";:2:60,154110,154110,17160,17160,15418:"IS A ";(29);"SUM";(29);" OF ";(29);"CUBES!";(29)40005080:(4)"RUN TRI QUIZ C (28)"@16368,0:255:2I419:3:(30);"IS THE TRINOMIAL FACTORED NOW?"\19:34:(29);:12000:S$B$:(29)vS$"YES"S$"Y"ī668S$"NO"S$"N"Ģ21:3:(30);"RIGHT.";:67021:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J144152:231,J279,J:J:J;"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS...."Rd0:I120136:1,I279,I:Ig17:10:"( X";(25);"3 + 8 )":16:20:"2":I1600:I:630l0:J149160:1,J279,J:Jq20:9:(30);"THAT'S RIGHT!":I1600:Iv0:I149184:1,I279,I:6119`A1$"X3"A2$"+"A3$"8"(A4$"2"A4$"2")620a0:I149160:1,I279,I:I:20:8:(30);"WRONG. ";(30);"TRY AGAIN.":S1:I1600:Ib0:I120136:1,I279,I:I:J149160:1,J279,J:J:5602c0:J145160:1,J279,J:J:20:3:(30)S$"Y"ī605YXS$"NO"S$"N"Ē0:I120136:1,I279,I:I:J152160:1,J279,J:J:560Z22:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J152160:112,J279,J:J:J168176:1,J279,J:J:593]S1(A1$"X3"A2$"+"A3$"8"A4$"2")ī:0:J106120:1,J279,J:JGU2Ģ15:5:"(";:15:") (";:35:")"U2Ē5:42,12156,121:77,12191,121:126,121147,121:168,121189,121:210,121231,121 U2Ģ15:7:"3Y + 4";:19:"9Y";(25);"2 - 12Y + 16":17:3:(30);"DO YOU SEE NOW?"&:X:0:J149160:112,J279,J:J:J168176:1,J279,J:J:525D1$"3Y"D2$"+"D3$"4"D4$"9Y2"D5$"-"D6$"12Y"D7$"+"D8$"16"Ģ23:15:(29);"WONDERFUL!";(29):600UU1:U2Ģ22:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS..."15:31:12000:D8$B$:17:31:" "D20:3:(30);"ARE YOU SURE?"l 20:17:(29);:12000:S$B$:(29)S$"Y"S$"YES"ī5400:S$"NO"S$"N"āJ106120:21,J238,J:J:20:17:" ":390?22:8:(30);"PLEASE ENTER YES OR NO.":X160025:" "O7:199,131199,135:17:29:"^":15:29:12000:D7$B$:17:29:" "iD7$"+"D7$"-"ī51019:10:(30);"PLEASE ENTER + OR -":J1600:J:0:J110120:196,J217,J:J:J144152:1,J270,J:J:490"7:213,131213,135:17:31:"^":,135:17:23:"^":15:23:12000:D5$B$:17:23:" "ND5$"+"D5$"-"ī48019:10:(30);"PLEASE ENTER + OR -":J1600:J:0:J110120:154,J175,J:J:J144152:1,J270,J:J:4607:171,131171,135:17:25:"^":15:25:12000:D6$B$:17:);"PLEASE ENTER + OR -":J1600:J:0:J144152:1,J270,J:J:J112120:63,J279,J:J:4207:80,13180,135:17:12:"^":15:12:12000:D3$B$:17:12:" "7:129,131129,135:17:19:"^":15:19:12000:D4$B$:17:19:" "47:157,1311572156,121:77,12191,121:126,121147,121:168,121189,121:210,121231,1217:45,13145,135:17:7:"^":15:7:12000:D1$B$:17:7:" "7:66,13166,135:17:10:"^":15:10:12000:D2$B$:17:10:" "D2$"+"D2$"-"ī440^19:10:(300:J816:14,J98,J:JO^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 CHARACTER AN EXPONENT."15:5:"(";:15:") (";:35:")"K7:42,1J:J176184:1,J279,J:J:296F024:15:(29);"EXCELLENT!";(29)]1J11000:J:5000w62:3:(30);"SO...."@9:13:"27Y";(25);"3 + 64 ="J12:6:"(3Y ";(25);". 3Y ";(25);". 3Y) + (4 ";(25);". 4 ";(25);". 4)"OJ1600:JTO YOU SEE NOW? "8 (22:19:(29);:12000:S$B$:(29)R )S$"Y"S$"YES"ī304 +S$"NO"S$"N"Ģ22:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":J11000:J::: ,23:8:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J160176:126,J279,J: AGAIN."K C1$"3Y"C2$"4"Ģ20:3:(30);"WRONG. ";(30);"TRY AGAIN."m 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:(30);"D 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 GOT3? "R 16:3:(30);"PRESS ";::(29);"RETURN";(29);::" AFTER EACH ANSWER."k 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$"Y"S$"YES"ī250 *** BI QUIZ2A (17) ****D$(4)5762,0@36864`D$;"BLOAD HGRW A9080 L580"k37024::0:1:0:100(36860)170Ĺ36860,0:3002:3:(30);"NOW WHAT WOULD BE THE CUBE ROOT";:4:3:"FOR...." 8:15:"27Y";(25);"         ī611;`A1$"X3"A2$"+"A3$"8"(A4$"2"A4$"2")620a0:I149160:1,I279,I:I:20:8:(30);"WRONG. ";(30);"TRY AGAIN.":S1:I1600:Ib0:I120136:1,I279,I:I:J149160:1,J279,J:J:5604c0:J145160:1,J279,J:J:20:3:(3"S$"Y"ī605[XS$"NO"S$"N"Ē0:I120136:1,I279,I:I:J152160:1,J279,J:J:560Z22:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J152160:112,J279,J:J:J168176:1,J279,J:J:593]S1(A1$"X3"A2$"+"A3$"8"A4$"2")52160:1,J175,J:J:575aD7:115,146115,150:19:17:"^":17:17:12000:A3$B$:19:17:" "I7:143,138143,142:18:21:"^":16:21:12000:A4$B$:18:21:" "N20:3:(30);"ARE YOU SURE?"Q20:17:(29);:12000:S$B$:(29) SS$"YES29H:7:80,14680,150:19:12:"^":17:12:12000:A1$B$:19:12:" "?7:101,146101,150:19:15:"^":17:15:12000:A2$B$:19:15:" "@A2$"+"A2$"-"ī580A20:7:(30);"PLEASE ENTER + OR -":I1600:I:0:J120136:91,J119,J:J:J110:8:"X";(25);"3";:7:78,76:14:"X";(25);"3";:21:"8";:162,76:26:"8":X1600:X{&0:J104112:1,J279,J:J+14:3:(30);"NOW PUT IT IN ITS FACTORED FORM...."017:10:"(";:7:77,13891,138:112,138126,138:20:")":142,129147,1,J:J:14:10:(30);"WRONG. ";(30);"TRY AGAIN.":T1:X1600:X}0:I6480:1,I279,I:I:I104112:1,I279,I:I:3300:J104112:1,J279,J:J14:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS....":0:I6480:1,I279,I:I[:J:340A17:8:(30);"PLEASE ENTER YES OR NO.":Z1600:Z:0:J104112:112,J279,J:J:J128136:1,J279,J:J:380T1(A1$"X3"A2$"X3"A3$"8"A4$"8")ī500A1$"X3"A2$"X3"A3$"8"A4$"8"ī550A0:J104112:1,J2793$B$:12:21:" "Xr7:178,90178,94:12:26:"^":10:26:12000:A4$B$:12:26:" "zw14:3:(30);"ARE YOU SURE?"|14:17:(29);:12000:Z$B$:(29)Z$"YES"Z$"Y"ī410Z$"NO"Z$"N"Ē0:J6380:1,J279,J:J:J104112:1,J279,J63,82:91,82105,82:140,82147,82:175,82182,82GT7:78,76:162,76^7:52,9052,94:12:8:"^":10:8:12000:A1$B$:12:8:" "h7:94,9094,94:12:14:"^":10:14:12000:A2$B$:12:14:" "m5:143,90143,94:12:21:"^":10:21:12000:A9233,163249,163249,149233,149< 22:14:"IS CORRECT."F 4000P "5000` 'B2:T0:S0 ,2:3:(30);"NOW TAKE THE SQUARE ROOTS:" 15:11:"X";(25);"6 + 16X";(25);"3 + 64" 61:55,6475,4293,64 @145,64161,42177,641J7:49,82ND X";(25);"6":129,114129,130151,130151,114129,114T 16:24:"ARE PERFECT" 18:3:"SQUARES, AND 16X3":109,131109,147141,147141,131109,131 18:22:"EQUALS TWO TIMES"! 20:3:"THE PRODUCT OF THEIR ROOTS, SO ";(30);"B":233,14"A"C$"C"Ģ16:3:(30);"WRONG.":250y 16:8:(30);"PLEASE ENTER ";(29);"A,B ";(29);"OR ";(30);"C.":X1600:X 0:J4856:238,J279,J:J:J120128:1,J279,J:J:220 16:11:"64":1:67,11767,13087,13087,11767,1179 16:15:"AECT SQUARE TRINOMIAL"L 13:4:(30);"C":17,9217,10831,10831,9217,92 13:7:(30);"NEITHER (TWO BINOMIAL FACTORS)" 100 31,61255,61255,10831,108 7:35:(29);:12000:C$B$:(29) C$"B"Ģ16:3:(30);"RIGHT.":250' C$";(25);"3 + 64"C 7:3:(30);"WHAT TYPE OF TRINOMIAL IS THIS?"L 200 9:4:(30);"A":17,6117,7631,7631,6117,61 9:7:(30);"ONE WITH ONLY A COMMON FACTOR" 11:4:(30);"B":17,7617,9231,9231,7617,76 11:7:(30);"A PERFD ** TRI QUIZ B (27) **)dD$(4)4n762,0?x36864^D$"BLOAD HGRW A9080 L580"i37024(36860)170Ĺ36860,0::0:1:1:100:SETTINGS 5000B12:3:(30);"WHAT DO YOU THINK...." 5:11:"X";(25);"6 + 16X      (B$)1):P1:P1:B$;" ";!.A$8.A$(27)A$(25)L.A$(8)ī12070v.A$(13)ĩ100:P1:P1(B$):" ";:/(A$)32(A$)25ī12010/B$B$A$/12010&/(B$)1B$"":120100/B$(B$,(B$)1):12010D}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$"":16368,0.P1(A)1.P(37):255.P1:P1:1:168,121189,121:210,121231,121|.U2Ģ15:7:"3Y + 4";:19:"9Y";(25);"2 - 12Y + 4":22:3:(30);"DO YOU SEE NOW?"/22:19:(29);:12000:S$B$:(29)0U2S$"NO"S$"N"Ģ24:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP":J11000:J:::0:J106191:1,J279,J:J:20:17:" ":390+UU1:U2Ģ20:3:(30);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS....":0:J106120:1,J279,J:J,U2Ģ15:5:"(";:15:") (";:35:")"#-U2Ē5:42,12156,121:77,12191,121:126,121147,12!17:19:(29);:12000:S$B$:(29)"U2S$"NO"S$"N"İ5000:10:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":J11000:J:::$U2Ē0:J184191:1,J270,J::24:18:(29);"GOOD";(30):600/&22:3:(30);"WRONG. ";(30);"TRY AGAIN.":J160168:1,J279,J:J:645921:3:(30);"WRONG.";~10:"X";(25);"3 + 8";:2:60,154110,154110,17160,17160,15418:"IS A ";(29);"SUM";(29);" OF ";(29);"CUBES!";(29)40005080:(4)"RUN TRI QUIZ C (28)"B16368,0:255::I619:3:(30);"IS THE TRINOMIAL FACTORED NOW?"^19:34:(29);:12000:S$B$:(29)xS$"YES"S$"Y"ī668S$"NO"S$"N"Ģ21:3:(30);"RIGHT.";:67021:8:(30);"PLEASE ENTER YES OR NO.":I1600:I:0:J144152:231,J279,J:J:0);"WRONG AGAIN. ";(30);"THE CORRECT ANSWER IS...."Td0:I120136:1,I279,I:Ig17:10:"( X";(25);"3 + 8 )":16:20:"2":I1600:I:630l0:J149160:1,J279,J:Jq20:9:(30);"THAT'S RIGHT!":I1600:Iv0:I149184:1,I279,IR$"A"R$"B"Ģ16:2:(30);"WRONG.":50016:7:(30);"PLEASE ENTER ";(29);"A, B, ";(29);"OR ";(30);"C.":X1600:X:0:J4056:238,J279,J:J:J120128:1,J279,J:J:48016:9:(30);"NEITHER OF THE FIRST TWO APPLY,""18:2:"SO Y#11:10:(30);"PERFECT SQUARE"Z13:7:(30);"C":39,9239,10853,10853,9239,9213:10:(30);"TWO BINOMIAL FACTORS"53,61207,61207,10853,1081007:35:(29);:12000:R$B$:(29)R$"C"Ģ16:2:(30);"RIGHT.":500,O YOU THINK...."55:11:"X";(25);"2 + 12X + 35"h7:3:(30);"WHAT TYPE OF TRINOMIAL IS THIS?"q2009:7:(30);"A":5:39,6139,7653,7653,6139,619:10:(30);"COMMON FACTOR"11:7:(30);"B":39,7639,9253,9253,7639,7618:3:(30);"WRONG.":400S19:9:(30);"PLEASE ENTER YES OR NO.":X1600:Xu0:J120128:231,J279,J:JJ144152:1,J279,J:J:37018:10:(30);"IT IS COMPLETELY FACTORED NOW."40005000B22:3:(30);"WHAT D9,J:J:J144152:1,J279,J:J:335Dh0:J104128:1,J279,J:J_k14:3:(30);"GREAT."m16:3:(30);"NOW IS IT COMPLETELY FACTORED?"r16:34:(29);:12000:Q$B$:(29)wQ$"YES"Q$"Y"Ģ18:3:(30);"RIGHT.":400|Q$"NO"Q$"N"9);:12000:K$B$:(29)8TK$"YES"K$"Y"Ģ18:3:360YK$"NO"K$"N"Ģ19:3:(30);"PLEASE SEE AN INSTRUCTOR FOR HELP.":21:3:(29);"GOOD BYE!":X11000:X:::^19:9:(30);"PLEASE ENTER YES OR NO.":X1600:X$c0:J120128:126,J27,J:J:T1:195/>0:J104112:1,J279,J:Js@14:3:(30);"WRONG AGAIN. ";(30);"THE ANSWERS SHOULD BE...."C0:J6980:56,J279,J:JE10:9:"( X + 2 )";:18:"( X";(25);"2 - 2X + 4 )"J16:3:(30);"DO YOU SEE NOW?"O16:19:(2E$"-"F$"2X"G$"+"H$"4")ī318n"A1$"X"B1$"+"C$"2"D$"X2"E$"-"F$"2X"G$"+"H$"4"ī360'0:J104112:1,J279,J:J,14:10:(30);"WRONG. ";(30);"TRY AGAIN.":X1600:X10:J6980:1,J279,J:J6J104112:1,J279$"YES"Z$"Y"ī285_Z$"NO"Z$"N"Ē0:J6980:1,J279,J:J:J104112:1,J279,J:J:19517:9:(30);"PLEASE ENTER YES OR NO.":X1600:X:0:J104112:112,J279,J:J:J128136:1,J279,J:J:265'T1(A1$"X"B1$"+"C$"2"D$"X2"15:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J6980:189,J210,J:J:J112120:1,J279,J:J:245 6:206,90206,94:12:30:"^":10:30:12000:H$B$:12:30:" " 14:3:(30);"ARE YOU SURE?" 14:17:(29);:12000:Z$B$:(29)Z(30);"PLEASE ENTER + OR -":X1600:X:0:J6980:154,J175,J:J:J112120:1,J279,J:J:230 5:171,90171,94:12:25:"^":10:25:12000:F$B$:12:25:" " 6:192,90192,94:12:28:"^":10:28:12000:G$B$:12:28:" "j G$"+"G$"-"1,J279,J:J:205V 5:101,90101,94:12:15:"^":10:15:12000:C$B$:12:15:" " 6:136,90136,94:12:20:"^":10:20:12000:D$B$:12:20:" " 5:157,90157,94:12:23:"^":10:23:12000:E$B$:12:23:" "` E$"+"E$"-"Ģ15:10:32:")"L 5:73,9073,94:12:11:"^":10:11:12000:A1$B$:12:11:" " 5:87,9087,94:12:13:"^":10:13:12000:B1$B$:12:13:" " B1$"+"B1$"-"Ģ15:10:(30);"PLEASE ENTER + OR -":X1600:X:0:J6980:84,J105,J:J:J112120:"FOR ";(29);"SUMS";(29);" OF ";(29);"CUBES.";(29)e 6:11:"X";(25);"6 + 16X";(25);"3 + 64" 8:7:"= (X";(25);"3 + 8)";(25);"2" 10:7:"= (";:7:70,8277,82:98,82105,82:17:")(";:133,82147,82:168,82182,82:203,82210,82: ** TRI QUIZ C (28) **)dD$(4)4n762,0?x36864^D$"BLOAD HGRW A9080 L580"i37024(36860)170Ĺ36860,0:415::0:1:7:100:T0: SETTINGS5000B12:3:(30)"NOW WE CAN APPLY THE BINOMIAL RULE"6 4:3:          !!! ! ! ! ! "(";:16:"+";:19:")"N19:2:(30)"THE FACTORED FORM IS THIS BINOMIAL,"e21:4:"SQUARED."z!9:20:(25)"2""1:79,58143,58143,7579,7579,58&5000+B3:::/25501:4:(29)"PERFECT SQUARE TRINOMIALS ";(29)"CONT'D" TERM."89:9:"X":8:9:" ":9:9:" ":10:9:"X"i10:H914:H:"X";:6030:H:" ";:6030:Hy9:14:"X"9:29:"2":9:29:" ":10:29:"2":9:29:" "10:H29181:H:"2";:6030:H:" ";:6030:H 9:18:"2"9:13:S...."9 3:39,5017,5017,6413,60: SQUARE ROOT SIGNU 8:4:"X";(25)"2 = X" 179,52165,52165,64161,60: SQUARE ROOT SIGN 8:25:"4 = 2" 15:2:(30)"AND MAKE THEM INTO A BINOMIAL, WITH"17:4:"THE SAME SIGN AS THE REMAININGINDEED"3 15:7:"TWO TIMES THEIR SQUARE ROOTS."g 17:7:(30)"SO WE KNOW IT'S A PERFECT SQUARE" 19:7:"TRINOMIAL." 5000 T70:VT19:10000 11:2:(30)"NOW WE TAKE THE SQUARE ROOTS OF BOTH" 13:4:"OF THE PERFECT SQUARE TERM0% T11:2:(30)"THE X";(25)"2 "K ^1:39,7359,7359,9139,9139,73g h11:11:"AND THE 4 "; r123,77137,77137,91123,91123,77 |" ARE PERFECT" 13:7:"SQUARES, AND THE 4X "; 1:165,92185,92185,107165,107165,92 " IS 25)"D POWER." 6020Q 13:2:(30)"THE SIGN IN BETWEEN IS THE SAME AS THE"{ 15:4:"SIGN OF THE REMAINING TERM." 5000 "B2::: ,3:2:(30)"LET'S TAKE THIS EXAMPLE...." 66:11:"X";(25)"2 + 4X + 4" @2:1,71279,71 J600(30)"THE FACTORED FORM OF A PERFECT SQUARE"Z 5:4:"TRINOMIAL IS ALWAYS A BINOMIAL," 7:4:"CONSISTING OF THE ";(29);::"SQUARE ROOTS";(29);::35:"OF" 9:4:"THE TWO PERFECT SQUARE TERMS, AND" 11:4:"RAISED TO THE 2";(25);"N";( ** TRICOMFAC2 (23) **(d368643i762,0Tn(4)"BLOAD HGRW A9080 L580"_x37024(36860)170Ĺ36860,0:800B1:40002551:4:(29)"PERFECT SQUARE TRINOMIALS ";(29)"CONT'D"5:21,11245,11100:6000- 3:2:!!!!!!!!""" " " " " """"""B$):" ";:*/(A$)32(A$)25ī120107/B$B$A$P/P1:P1(B$):" ";[/12010v&/(B$)1B$"":120100/B$(B$,(B$)1):12010I):12010LB$)1):12010,64:62450:100:&36860,170:5080E(4)"RUN TRI QUIZ B (27)"W(4)"PR#0":a.B$""o.P1(A)1.P(37):255.P1:P1:(B$)):P1:P1:B$;" ";.A$.A$(27)A$(25).A$(8)ī12070 .A$(13)ĩ100:P1:P11:P1(l22:3:"FACTORS."!v4000@5080:(4)"RUN MULT (29)"16368,0:255:24:9:(30);"PRESS ";::(29);"RETURN";(29);::" TO CONTINUE"(16384)194Ĺ16368,0:4050(16384)141Ĺ16368,0:4010B5050,5050,415230.":610X19:6:(30);"PLEASE ENTER ";(29);"A, B, C, ";(29);"OR ";(30);"D.":X1600:X:0:J616:189,J279,J:J:J144152:1,J279,J:J:590b18:10:(30);"TRIAL AND ERROR IS THE ONLY WAY"g20:3:"TO MAKE A TRINOMIAL INTO TWO BINOMIAL"238,10824,108??15:8:(30);"MAKE TWO BINOMIALS BY TRIAL"XD16:14:"AND ERROR"aE100I38,61242,61242,13238,132N2:28:(29);:12000:Z$B$:(29)QZ$"D"Ģ18:3:(30);"RIGHT.":610SZ$"A"Z$"B"Z$"C"Ģ18:3:(30);"WRONG(30);"TAKE SQUARE ROOTS"M&11:5:(30);"B":24,7624,9238,9238,7624,76z+11:8:(30);"TAKE OUT A COMMON FACTOR"013:5:(30);"C":24,9224,10838,10838,9224,92513:8:(30);"TAKE CUBE ROOTS":15:5:(30);"D":24,10824,13238,13OUR ONLY CHOICE IS TO TRY TO FIND"F20:2:"TWO BINOMIAL FACTORS."P4000Z5000b B32:3:(30);"HOW WOULD YOU FACTOR IT?"5:11:"X";(25);"2 + 12X + 35"2009:5:(30);"A":6:24,6124,7638,7638,6124,61!9:8:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::