FK>E??=II 1DAHEJ=?A ; U ; U ; YQ BP P ; W W FHEL=JA IJHEC =A FHEL=JA IJHEC FK>E? IJHEC =A CAJ HAJKH =A IAJ =A L=KA FK>E

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1 Q;P K; W; ;Q ; PA> P ;R; P W BW= W 1DAHEJ=?A 2OHFDEI = W W BW; ; PA = WU BW= W ;R; P W

2 FK>E??=II 1DAHEJ=?A ; U ; 5JK@AJ U ; YQ BP P ; W W FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FK>E? IJHEC =A CAJ HAJKH =A IAJ =A L=KA FK>E? IJHEC 5JK@AJ1@ CAJ HAJKH IJK@AJ1@ IAJ IJK@AJ1@ L=KA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ $ #!"#$% %&%'

3 1DAHEJ=?A ; W ; Q ; W ; ;P?a; W EIJEJKJA W ZLA XW $ #!"#$% %&%'

4 K ; 5JK@AJ U?ZO R; R; CH=@K=JA K@AHCH=@K=JA ; W W BX; ; B A ;P,EIF=O).EA@I B ; FK>E??=II 5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FHEL=JA > EI/H=@K=JA5JK@AJ $ #!"#$% %&%'

5 K ; FK>E??=II 5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FHEL=JA > EI/H=@K=JA5JK@AJ 2HFAHJEAI =HA B A BX; ; ; AK; FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ B W ZLA L G ; W Q;; A EB EI/H=@K=JA5JK@AJ +IA9HEJAEAK@AHCH=@K=JA,ACHAA +IA9HEJAEAK@AHCH=@K=JA1IJEJKJE $ #!"#$% %&%'

6 K ; P Q; ; PA Q??; K U G?ZO Q 2D@IJK@AJ a ; ; A;PA?K; ];?ZO I; XQ ; B FK>E??=II 5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FHEL=JA B=J FD@5==HO FHEL=JA > ; Y ; WA ;P $ #!"#$% %&%'

7 FK>E??=II FHEL=JA IJHEC =A FHEL=JA IJHEC FHEL=JA IJHEC >EHJD,=JA 2HFAHJEAI =HA K ; /H=@K=JA5JK@AJ FK>E??=II /H=@K=JA5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC >EHJD,=JA FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FHEL=JA > EI/H=@K=JA5JK@AJ 2HFAHJEAI =HA ; ;PA I; W >EHJD,=JA BZO PA Q? WA ; P ]; Q? $ #!"#$% %&%'

8 EDAHEJ=?A P C;?ZO U ; ; BX ;; U ZZA? ;?B P??ZO Q; OP K ; P C; $ #!"#$% %&%' #

9 EDAHEJ=?A P C; A R?ZO Q; OP U G /H=@K=JA5JK@AJ U U P C; 5JK@AJ = U Q; ; A ]; O BOW ZZA? ; B?ZO V>W C; W P `WA B?ZO Q; ; W B F=HAJ?=II >=IA?=II = U P U P C; ; = U B?ZO W B = U U A Q; P C; BW; B UP U $ #!"#$% %&%'

10 EDAHEJ=?A P C; /AAH=E=JE 5JK@AJ =A IJK@AJ1@ >EHJD,=JA *=IA +=II = U 2=HAJ +=II,EIF=O).EA@I 2D@5JK@AJ H= HAIA=H?D5==HO MH0KHI /H=@K=JA5JK@AJ K@AHCH=@K=JA,ACHAA K@AHCH=@K=JA1IJEJKJE +=?K=JA5==HO 5FA?E=E=JE,AHELA@ +=II B W +DE@ +=II $ #!"#$% %&%'

11 EDAHEJ=?A P C; QW = FK>E??=II 5JK@AJ FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ 2HFAHJEAI =HA FK>E??=II /H=@K=JA5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE 5JK@AJ $ #!"#$% %&%' 5JK@AJ FK>E??=II 2D@5JK@AJ FHEL=JA EJ H= FHEL=JA B=J HAIA=H?D5==HO FHEL=JA B=J MH0KHI FK>E? B=J +=?K=JA5==HO

12 EDAHEJ=?A P C; `WA = U FHJA?JA@ FK>E? B?ZO P C; P C; B W?DE@ U = U FHJA?JA@ B?ZO ; UPBW?DE@ W Q; B W FK>E??=II 5JK@AJ FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ 2HFAHJEAI =HA $ # 5JK@AJ FK>E??=II /H=@K=JA5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE!"#$% %&%' FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@

13 EDAHEJ=?A P C; P C; FHEL=JA B?ZO ; FK>E??=II 5JK@AJ FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FHEL=JA IJHEC EIKH=?A+@A FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ 2HFAHJEAI =HA 5JK@AJ FK>E??=II /H=@K=JA5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ $ #!"#$% %&%'

14 EDAHEJ=?A P C; FK>E??=II 5JK@AJ FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ 2HFAHJEAI =HA FK>E??=II 2D@5JK@AJ 5JK@AJ FHEL=JA EJ H= FHEL=JA B=J HAIA=H?D5==HO FHEL=JA B=J MH0KHI FK>E? B=J +=?K=JA5==HO FHJA?JA@ IJHEC =A FHJA?JA@ IJHEC IJK@AJ1@ FHJA?JA@ IJHEC >EHJD,=JA FK>E? LE@,EIF=O).EA@I +IA9HEJAEA=A +IA9HEJAEAIJK@AJ1@ 5JK@AJ I AM 5JK@AJ( A) (#) 2D@5JK@AJ F AM 2D@5JK@AJ( 5EJD) (##) I,EIF=O).EA@I A F,EIF=O).EA@I # 5EJD ## $ # 5JK@AJ U Q; 2D@5JK@AJ U `WA B P C;!"#$% %&%'

15 EDAHEJ=?A P C; ( EI = ) b; P >A?J ( EI = ) >=IA?=II >A?J 2D@5JK@AJ EI = 5JK@AJ /H=@K=JA5JK@AJ EI = 5JK@AJ B = U Q; ; ; ;A B W Q; ; ;P P 5JK@AJ I AM 5JK@AJ =A ( A) 5JK@AJ1@(#) 2D@5JK@AJ F AM 2D@5JK@AJ=A(5EJD) 5JK@AJ1@ (##) /H=@K=JA5JK@AJ C AM /H=@K=JA5JK@AJ =A(*=H>=H= ) 5JK@AJ1@ (###) 5JK@AJ 5 F 5JK@AJ 5 C 2D@5JK@AJ F 5 2D@5JK@AJ EI = 5JK@AJ /H=@K=JA5JK@AJ EI = 5JK@AJ $ #!"#$% %&%'

16 EDAHEJ=?A P C; = U Q; ; ; ;A B W Q; ; ;P BW; = U Q; ; Q; P P? P B P BW; B W ; Q; ;A 5JK@AJ I AM 5JK@AJ =A ( A) 5JK@AJ1@(#) 2D@5JK@AJ F AM 2D@5JK@AJ=A(5EJD ) 5JK@AJ1@ (##) /H=@K=JA5JK@AJ C AM /H=@K=JA5JK@AJ =A(*=H>=H= ) 5JK@AJ1@ (###) 5JK@AJ 5 F 5JK@AJ 5 C 2D@5JK@AJ F 5 $ #!"#$% %&%'

17 EDAHEJ=?A P C; ( EI = ) b; P >A?J ( EI = ) >=IA?=II >A?J 2D@5JK@AJ EI = 5JK@AJ /H=@K=JA5JK@AJ EI = 5JK@AJ EIJ5JK@AJ IJK@AJI AM EIJ5JK@AJ 5JK@AJ I AM 5JK@AJ =A ( A) 5JK@AJ1@(#) 2D@5JK@AJ F AM 2D@5JK@AJ=A(5EJD) 5JK@AJ1@ (##) /H=@K=JA5JK@AJ C AM /H=@K=JA5JK@AJ =A(*=H>=H= ) 5JK@AJ1@ (###) IJK@AJI IJK@AJI)@@I IJK@AJI)@@F IJK@AJI)@@C 2D@5JK@AJ EI = 5JK@AJ /H=@K=JA5JK@AJ EI = 5JK@AJ 5JK@AJ >A?J 5JK@AJ >A?J 5JK@AJ >A?J 2D@5JK@AJ 5JK@AJ >A?J /H=@K=JA5JK@AJ $ #!"#$% %&%'

18 P C; QW W QW B; QW = U A ;O;P = U QW QW ; BK AB PB;= ;A ;A B W QW B; = U QW FK>E??=II 5K>+=II *=IA+=II 2K>E? 5K>+=IIF=H=AJAH EIJ >=IAJDA >=IA?=II* I F=H=AJAH EIJ ;O;P = U QW ; V>W $ #!"#$% %&%' #

19 FK>E??=II P C; QW IJHEC =A IJHEC FHJA?JA@ IJHEC >EHJD,=JA FK>E? IJHEC * =A E@ >EHJD,=JA > FK>E??=II 5JK@AJ /5 AM (D) )##) )#) ) =JD) )*AHE) FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FK>E? /H=@K=JA5JK@AJ IJEHC IJHEC IJE@IJHEC >E@IJHEC K,ACHAAIJHEC K1IJ >=IA IJE@>E@ K@AHCH=@K=JA,ACHAA K,ACHAA K@AHCH=@K=JA1IJEJKJE K1IJ $ #!"#$% %&%'

20 P C; FK>E??=II FHEL=JA IJHEC =A FHEL=JA IJHEC FHEL=JA IJHEC CF= FK>E? 2HEJ +IA9HEJAEA =A =A 5JK@AJ1@ =H.EA@ /2) /F= FK>E??=II 5JK@AJ FHEL=JA IJHEC FHEL=JA IJHEC /H=@K=JA5JK@AJ / AM /H=@K=JA5JK@AJ( A) )#) ) =JD) ) 2DOIE?I )*AHE) /2HEJ $ #!"#$% %&%' /H=@K=JA5JK@AJ 5JK@AJ =A IJK@AJ1@ 2HEJ K@AHCH=@K=JA,ACHAA K@AHCH=@K=JA1IJEJKJE 5JK@AJ =AA 5JK@AJ # 5JK@AJ =AA =H.EA@ 5JK@AJ =JD# /2) =H.EA@ =JD 7@AHCH=@ /2),AC2DOIE?I 7@AHCH=@ 1IJ*AHE

21 P C; W `WA P C; A BO; XQ B W Q XK P ZZA? B LEHJK= AJD@I AJD@ LAHHE@EC K ; $ #!"#$% %&%'

22 P C; ; = U Q; P C; B B U ;A BO; P XQ ZZA? ; B B U Q; `WA B ;O;P? ; U `WA 9;; B ;O;P B U ZZA = QW = LEHJK=? = U P B PA = LAHHE@A? B U P B PA BO; ZZA? QW PB;= PB;= ;A BOW ;; LAHHE@A B A QW = = U LEHJK= B BP ; ZZA $ #!"#$% %&%'

23 FK>E??=II FHEL=JA IJHEC =A FHEL=JA IJHEC FHEL=JA IJHEC CF= P C; FK>E? LEHJK= LE@ 2HEJ +IA9HEJAEA 5JK@AJ =A =A 5JK@AJ 5JK@AJ1@ =H.EA@ =H.EA@ /2) /F= FK>E??=II /H=@K=JA5JK@AJ 5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE /H=@K=JA5JK@AJ / AM /H=@K=JA5JK@AJ(A) )#) ) =JD) ) 2DOIE?I )*AHE) /2HEJ /H=@K=JA5JK@AJ 5JK@AJ =A IJK@AJ1@ 2HEJ K@AHCH=@K=JA,ACHAA K@AHCH=@K=JA1IJEJKJE 5JK@AJ =AA 5JK@AJ # =H.EA@ =JD /2) $ #!"#$% %&%'

24 FK>E??=II FHEL=JA IJHEC FHEL=JA IJHEC P C; =A 2HEJ FK>E? LE@ 2HEJ +IA9HEJAEA =A =A 5JK@AJ1@ =H.EA@ /2) /F= 7@AHCH=@K=JA,ACHAA 1IJ /H=@K=JA5JK@AJ / AM /H=@K=JA5JK@AJ ( A) )#) ) =JD) ) 2DOIE?I )*AHE) /2HEJ $ #!"#$% %&%' /H=@K=JA5JK@AJ K@AHCH=@K=JA,ACHAA K@AHCH=@K=JA1IJEJKJE 2HEJ 5JK@AJ =AA 5JK@AJ # =H.EA@ =JD /2) 7@AHCH=@,AC2DOIE?I 7@AHCH=@ 1IJ*AHE

25 P C; H = U LEHJK= B JP BW; >=IA Q; P C;?ZO FK>E??=II /H=@K=JA5JK@AJ 5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FK>E? LAHHE@A LE@ 2HEJ >=IA2HEJ +IA9HEJAEA 7@AHCH=@,AC 7@AHCH=@K=JA,ACHAA 7@AHCH=@ 1IJ 7@AHCH=@K=JA1IJEJKJE /H=@K=JA5JK@AJ / AM /H=@K=JA5JK@AJ ( A) )#) ) =JD) ) 2DOIE?I )*AHE) /2HEJ $ # 5JK@AJ =AA 5JK@AJ # =H.EA@ =JD /2) 7@AHCH=@,AC2DOIE?I 7@AHCH=@ 1IJ*AHE!"#$% %&%' FK>E??=II 5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC =H.EA@ CF= FK>E? LEHJK= LE@ 2HEJ +IA9HEJAEA 5JK@AJ =A =A 5JK@AJ 5JK@AJ1@ =H.EA@ =H.EA@ /2) /F=

26 * P C; LEHJK= B ;; ) U FK>E? LEHJK= LE@ 2HEJ LAHHE@A ; B P C; ) U Q; * U QW = ZZA? ; FK>E? LAHHE@A LE@ 2HEJ U FHEJ P C; * U Q; - U LAHHE@A ; $ #!"#$% %&%' P LAHHE@A B LEHJK= BO;

27 P - A>A?J AM - A>A?J2HEJ $ #!"#$% %&%' +?>A?J AM +?>A?J2HEJ

28 P P= ; + + G P G P C; ; $ #!"#$% %&%' #

29 B G B U Q; B B NW= X = P W Q; +KJ@W;O a 6DA IKHCA MK@ >ACE J =A = E?EIE 6DA D=EH IJOEIJ MK@ >ACE J?KJ IAAI D=EH 6DA =?JH MK@ =>HKFJO IJF =?JEC G?B B 9;; ; = W; $ #!"#$% %&%'

30 B G FK>E??=II 5JK@AJ FHEL=JA IJHEC =A FHEL=JA IJHEC IJK@AJ1@ FHEL=JA IJHEC =H.EA@ CF= FK>E? LEHJK= LE@ 2HEJ +IA9HEJAEA 5JK@AJ =A =A 5JK@AJ 5JK@AJ1@ =H.EA@ =H.EA@ /2) /F= $ #!"#$% %&%'

31 B G FK>E??=II /H=@K=JA5JK@AJ 5JK@AJ FHEL=JA IJHEC K@AHCH=@K=JA,ACHAA FHEL=JA IJHEC K@AHCH=@K=JA1IJEJKJE FK>E? LAHHE@A LE@ 2HEJ >=IA2HEJ +IA9HEJAEA 7@AHCH=@,AC 7@AHCH=@K=JA,ACHAA 7@AHCH=@ 1IJ 7@AHCH=@K=JA1IJEJKJE ) /4),7)6-567,-6 FK>E??=II 7@AHCH=@K=JA5JK@AJ 5JK@AJ FHEL=JA IJHEC DECD5?D FK>E? LAHHE@A LE@ 2HEJ >=IA2HEJ +IA9HEJAEA0ECD 5?D )JJA@A@ 0ECD5?D ) 7,-4/4),7)6-567,-6 $ #!"#$% %&%'

32 B G 5JK@AJ IJK@AJ*@O AM 5JK@AJ 7@AHCH=@K=JA5JK@AJ K AM 7@AHCH=@K=JA5JK@AJ /H=@K=JA5JK@AJ C AM /H=@K=JA5JK@AJ IJK@AJ*@O K IJK@AJ*@O C BHEJ EEE IJK@AJ*@OEFHEJ 5JK@AJ =A D 5EJD 5JK@AJ =H.EA@ *ECO /2) 0ECD 5?D )JJA@A@ 4?O KJ=E 0ECD ) 7,-4/4),7)6-567,-6 5JK@AJ =A 2=K= /HAA 5JK@AJ =H.EA@ -@K?=JE /2) 7@AHCH=@,AC *5 -CEID 7@AHCH=@ 1IJ 7+) ) /4),7)6-567,-6 $ #!"#$% %&%'

33 B G G 2OHFDE? IJK@AJ*@OEFHEJ B ap U ; UW; P B ; O Q; ; AB B B G B U 5JK@AJ U Q; ; ; BX Q; P C; FHEJ B W; ; ZZA? FHEJ B W; ; Q; OP LAHHE@A@W; QW = $ #!"#$% %&%'

34 B G FK>E??=II 5D=FA FHJA?JA@ IJHEC =A FK>E? LEHJK= LE@,H=M +IA9HEJAEA)@W; A ; 5D=FA I>A?JI AM 5D=FA I>A?JI AM +EH?A I>A?JI AM 5GK=HA I>A?JI AM 5D=FA FK>E??=II +EH?A 5D=FA FK>E? LAHHE@A LE@,H=M +IA9HEJAEA)@W; P; ; FK>E??=II 5GK=HA 5D=FA FK>E? LAHHE@A LE@,H=M +IA9HEJAEA)@W; P ; $ #!"#$% %&%' BHA=?D 5D=FA I E I>A?JI P; P A ;

35 B G FK>E??=II 5D=FA FHJA?JA@ IJHEC =A FK>E? LEHJK= LE@,H=M +IA9HEJAEA)@W; A ; FK>E??=II +EH?A 5D=FA FK>E? LAHHE@A LE@,H=M +IA9HEJAEA)@W; P; ; FK>E??=II 5GK=HA 5D=FA FK>E? LAHHE@A LE@,H=M +IA9HEJAEA)@W; P ; $ #!"#$% %&%' 5D=FA I AM +EH?A 5D=FA I AM 5GK=HA 5D=FA I AM 5D=FA I,H=M I,H=M P; P A ;

36 B G = U ;; B W Q; ; R = QW ;P ; ; ; BX X AB B ap B UW; P,H=M = W; ;O;P PB U Q; QW ;P ; ; ; B G W; = = U Q; U R; a W PB PQ I; Q JHE=CA U BHA=?D 5D=FA I E I>A?JI I,H=M $ #!"#$% %&%'

37 b +A?JE P BX ; $ #!"#$% %&%'

Assignment. Name. Factor each completely. 1) a w a yk a k a yw 2) m z mnc m c mnz. 3) uv p u pv 4) w a w x k w a k w x

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