t)< ~ it ivi 1. 3+4 2 2. 2+4) 2-+ 7-l· -i- + . x -t -1l ... · -"l<...

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-"l< Jx~ I ;:::;-+'j.-=-3-+-D~t.. 2-=_~7--'I""'-~11 ()...'/. -I Adv Aig 4 3 '1 L Name Unit 3: Review WS#l - X +ot)[ -/.0((-' I --~~~~- _ji.:-7t£ - i-IoYt=3 D · id th I .I . 'j T)< ~ -14 IVI e e po vnorma s usmg long division. -CQ)t _ It 1. 3+4 2_ 2. (4x 3 "-7x-ll}7(2x-l) . . 2+4) "2-+ 7-....L -i- +_ . -T -1L/..,c-J-.5: ;z. V r: I )(-3 X 2+0 ,,-3 X~+- '1.'2-.-(0'(1-1 16X+-J X+~C2~.3t-Oyz70Xt-S -X 3-t 3')CL -J'gf;~L/5 -02)( Y-()X~gx:_ "" 7-X2--Lox 'It; -/L/~f-S -7'1. 2. +ZI >L D "d h -I . 1.erx: + I IVI et e po vnornials USIl~ synttietic division. 4. (Sx 2 -9x+4)7(X-2) 5. (X3_ 7x 2+X-3)7{X+S) ~ 5' - a, L{ .-~ I -,' - 3 <-----_--',L..!.V~_.e.;z~ -5' iLJD '-3Ob 5' I ~ f.o I -J;L fo11-303 :5'tt 1- 1 4- v.- '"' Z- J - 363 Short answer. A d- X -/:/..'t + to/ +- >Ctr 6. (2x 4 _X2 +1)7(x+3) .- ~ c2. o - J 0 I -lp I ~ -5'1 JS3 e. -~ 17 -5'1 /~'-I c{)X?r-to)(L of-/7't - Sf 7. If you were to divide f(x) by g(x) which method would you use and why? ~ f(x)=x 3 _X2 +8x g(x}=x 2 -9x+l I DN?c!0 ~ 0\ S~ DN :l - ~\+ do S )rJ~'Q.... ci\v~z; ~ow W\~ X 8. If you divide (x 3 - 9x 2 + 3x - 6) by (x + 5), what would the remainder be? What is f(-5)? -~) =-.i 7~ -J",4]. :5~ (5) '3-1(-5) 2 1-3(-5)-Co I -/'-1 73 t37 L -:::-- - -/~5 c:;- d.2. 5"- / ~ - ~-=- 9. Given that f(x) = x 3 + 2X2 + X + 2 and f( -2) = 0, what is one of its factors? ~ ()(+-~) 10. Isx-2afactorof f(x)=x 3 -6x 2 +11x-6? iD 1) -~ lSi 11. The ordered pair represented by f(8)=0 is ( ,). l <gJ 0) The ordered pair represented by f(2)=10 is ( ,). L d...) J D) If g(x) has factors 5x-3, 2x+l, and x+7, it's zeros would be . v-: J/~ -7 3 v; ) ) /.2- ) 11b)Factor 5x 4 +40xcompletely. ,'fx:(x"+- ~ J - o.~( )(t-:::Z lCY -d.-~ +LI :1=0 :k d , '-I-~ +;0 ) .3 11c) list all POSSIBLE rational zeros of f(x) = X4 - 2x 3 + x -1 0 . lld) list all POSSIBLE rational zeros of f(x) = 3x 3 - 4X2 + 7x + 6 :t J) ±) ±'3) ± 0 ±\ ·t 3 ) .

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Page 1: T)< ~ It IVI 1. 3+4 2 2. 2+4) 2-+ 7-L· -i- + . X -T -1L ... · -"l< Jx~I;:::;-+'j.-=-3-+-D~t.. 2-=_~7--'I""'-~11 ()...'/.-I Adv Aig 4 3 '1 L Name Unit 3: Review WS#l - X_ji.:-7+ot)[

-"l<Jx~I ;:::;-+'j.-=-3-+-D~t.. 2-=_~7--'I""'-~11 ()...'/. -IAdv Aig 4 3 '1 L NameUnit 3: Review WS#l - X +ot)[ -/.0((-' I --~~~~-

_ji.:-7t£ - i-IoYt=3D· id th I . I . 'j T)< ~ -14IVI e e po vnorma s usmg long division. -CQ)t _ It1. 3+4 2_ 2. (4x3"-7x-ll}7(2x-l) . . 2+4)

"2-+ 7-....L· -i- +_ .-T -1L/..,c-J-.5: ;z.V r : I )(-3 X 2+0,,-3 X~+- '1.'2-.-(0'(1-1 16X+-J X+~C2~.3t-Oyz70Xt-S

-X 3-t 3')CL -J'gf;~L/5 -02)( Y-()X~gx:_"" 7-X2--Lox 'It; -/L/~f-S

-7'1. 2. +ZI >LD"d h -I . 1.erx: + I

IVI e t e po vnornials USIl~ synttietic division.

4. (Sx2-9x+4)7(X-2) 5. (X3_7x2+X-3)7{X+S)

~ 5' - a, L{ .-~ I -,' - 3<-----_--',L..!.V~_.e.;z~ -5' iLJD '-3Ob

5' I ~ f.o I -J;L fo11-303:5'tt 1- 1 4-v.- '"' Z- J - 363

Short answer. A d- X -/:/..'t + to/ +- >Ctr

6. (2x4 _X2 +1)7(x+3).- ~ c2. o - J 0 I

-lp I ~ -5'1 JS3e. -~ 17 -5'1 /~'-I

c{)X?r-to)(L of-/7't - Sf

7. If you were to divide f(x) by g(x) which method would you use and why? ~

f(x)=x3 _X2 +8x g(x}=x2 -9x+l IDN?c!0 ~0\S~DN :l- ~\+ do S )rJ~'Q.... ci\v~z;~ow W\~ X

8. If you divide (x3- 9x2 + 3x - 6) by (x + 5), what would the remainder be? What is f(-5)?

-~) =-.i 7~ -J",4]. :5~ (5) '3-1(-5) 2 1-3(-5)-CoI -/'-1 73 t37 L -:::-- - -/~5 c:;- d.2. 5" - / ~ - ~-=-

9. Given that f(x) = x3 + 2X2 + X + 2 and f( -2) = 0, what is one of its factors? ~

()(+-~)10. Isx-2afactorof f(x)=x3-6x2+11x-6?

iD 1 )-~lSi

11. The ordered pair represented by f(8)=0 is ( ,). l <gJ 0 )The ordered pair represented by f(2)=10 is ( ,). L d...) J D )If g(x) has factors 5x-3, 2x+l, and x+7, it's zeros would be .v-: J/~ -7

3 v ; ) ) /.2- )11b)Factor 5x4+40xcompletely. ,'fx:(x"+- ~ J - o.~()(t-:::Z lCY -d.-~+LI

:1=0 :kd, '-I-~ +;0

) .3

11c) list all POSSIBLE rational zeros of f(x) = X4 - 2x3 + x -1 0 .

lld) list all POSSIBLE rational zeros of f(x) = 3x3 - 4X2 + 7x +6:t J) ±) ±'3) ± 0

±\ ·t 3) .

Page 2: T)< ~ It IVI 1. 3+4 2 2. 2+4) 2-+ 7-L· -i- + . X -T -1L ... · -"l< Jx~I;:::;-+'j.-=-3-+-D~t.. 2-=_~7--'I""'-~11 ()...'/.-I Adv Aig 4 3 '1 L Name Unit 3: Review WS#l - X_ji.:-7+ot)[

1'} Ghi'"'n j/.'(X,l sz: X3 +- 5xL.... .x_.-30 ;)nd one If its factors x t 3, list ali of tile factors..•... ... .

13 -/()Y. 2..1- 3'(C -j D .

LX+5){X' -c2'i'lf-3)

yZ--~'i -3(V-3 ~+-/)

)(=- 3) -)) =)

--u -) -5 -3=} .~ 3

-c-I.a') ±J3lo-LJ{I)(-lfo ')_

c2 G±tlJ>

~F.~ x~· 6:~,:··::~..~-- U