Precalculus Quiz 7: Solving Quadratic Functions and Polynomials, Quizzes of Pre-Calculus

A precalculus quiz focusing on solving quadratic functions and polynomials. The quiz includes questions on identifying the graph of a quadratic function, finding quotients and remainders of polynomials, and determining the rational roots and zeros of a polynomial. Students are required to show all work neatly and calculators are not permitted.

Typology: Quizzes

Pre 2010

Uploaded on 12/09/2008

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Use of calculators is not permitted on this quiz. Please show all work neatly.
1. True or False: Yatse The graph below could be the graph of the function
Q(x) = x' 1x - 27 ,y$'
\ rt.
Math 105, Precalculus
Quiz 7, Sections 3.1-3.3
*-' n-1a:* vl-nftt F
Justify your answer: b)yvA ak t'-' o ,
-4 U* &z Ynal-ct' *fu
-
z 7v, fn 4tus
Name {ASwE1? KCZ I
October 31. 2008 s
;:; , po 4o-.s 4r'-r } ^* "[ (x-: ) '
Yv'ut'a* '
aTngt*i,)',J i x:' ) nLL1a,t boh b<'
do"*.s., t"eari, - t:;t,"i t:tr 'r'''tt;]'l
rt"l-,,t
1'\v \- ..
\ro(\^ Atrb '
..{ ro 2. Find the quotient and remainder of x3 - x2 + 6
3 - x2 -dz-to{+ }\ *?- v'+bv't L
- 1 1: rrt" -3r )
- y' .t 3*tL
| -1- -roy {-l )
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- I U53a A],UItt 1 ntrstalcc ur
fla
,rr^J'an,n'i'l t rtra ti.rca
I eF. a) List all possible rational roots of P(x) : ! l, ! 5
3yh. b) Find atl zeros of P('). Be sure to show all work. tr,r^-;:T:1.-El
p(r)-- l- 6 +5: o / reF ,- 'l- a- .----1-=_--.._*:*J
I - 5* '5 e lvU ral Jr. f', ,o
x - | T;;- bx' 1or *(
v- | | x3-b*'io(lf r ,rr*,
z-rr':il
#-j-l .r., ,L (ou**,,*
-st> lor - | l-r" *,.*1 n_o f @
let v)-sr-s--o ,% x-- sJ F:rr, y-, -t -j\' .* ) p* Ajr;nt A*( ' .
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3. Consider the polyno*iut "tt) = x3 - 6x2 + 5
6uol'r'au,t:-x+l
P.rn"at*la- 3r+ 3
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Download Precalculus Quiz 7: Solving Quadratic Functions and Polynomials and more Quizzes Pre-Calculus in PDF only on Docsity!

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Use of calculators is^ not permitted^ on^ this^ quiz.^ Please^ show^ all^ work^ neatly.

  1. True (^) or False: (^) Yatse The graph below could be the graph^ of the function Q(x) =^ x'^ 1x -^ 27 ,y$' \ (^) rt. Math 105, Precalculus Quiz 7, Sections 3.1-3.

-' n-1a: vl-nftt F

Justify your^ answer: b)yvA ak^ t'-'^ o^ ,

-4 U*^

&z Ynal-ct'^ *fu

z (^) 7v, fn 4tus

Name {ASwE1? KCZ^ I

October 31. 2008

s

;:; , po^ 4o-.s 4r'-r^ }^ ^* "[^

(x-: (^) ) (^) ' Yv'ut'a* '

aTngt*i,)',J i^ x:'^ )^ nLL1a,t^ boh^ b<'

do"*.s., t"eari,^ -^ t:;t,"i^

t:tr

'r'''tt;]'lrt"l-,,t

1'\v -^ .. \ro(^ Atrb ' ..{

ro

2. Find the quotient^ and remainder^ of^

x3 (^) - x2^ +^6

3 - x2 -dz-to{+ } \ *?- v'+bv't L

  • 1 1:^ rrt"^ -3r^ )
    • y'^ .t^ 3*tL | -1- -roy^ {-l^ )

__-

  • I^ U53a (^) A],UItt 1 ntrstalcc^ ur fla ,rr^J'an,n'i'l t^ rtra^ ti.rca I (^) eF. a) List all possible rational roots^ of P(x)^ :^!^ l,! 5

3yh. b)^ Find^ atl zeros^ of^ P(').^ Be^ sure^ to^ show all^ work.^

tr,r^-;:T:1.-El

p(r)-- l- 6 +5:^ o /^

reF

,- 'l- a-

.----1-=--..:J

I -^ 5* '5^ e lvU ral Jr. f', ,o xv- | (^) - | T;;-^ | x3-b'io(lf^ bx' 1or ( r ,rr, z-rr':il #-j-l (^) .r., ,L (ou,, -st> (^) lor - | (^) l-r" ,. n_o f @ let v)-sr-s--o ,% x--^ sJ^ F:rr, y-,^ -t -j' .^ ) p Ajr;nt A*(

,.-,' tnt.

-;---, -i{ uutw-'l r)

,rr'nnF fq

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  1. Consider the^ polyno*iut^

"tt)

= x3^ - 6x2^ +^5

6uol'r'au,t:-x+l

P.rn"at*la- 3r+ 3

Math 105, Precalculus Quiz 7, Sections 3.1-3.

Name A/.\SWAZ -ka{

October 31,2008^ r

Use of calculators is^ not permitted^ on^ this^ quiz.^ Please^ show^ all^ work^ neatly.

l. True or False:F4qg*The graph^ below^ could^ be^ the graph^ of^ the^ function Q@) = x2^ (x^ +2) -t

Justify your^ answer:

l' e'r*&^ "^^( F v^

3-+ 2v' = & {v) (vt*un' t',"^ l'tt)

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3*'al

lf.rr;.Jl' -^l^

(rr) n4t/)' ULrvta x--oi'*=-Z)

z (^) WYot; -z^ ;5^ ^dn-bv Nt"r-,

  • t:' l:'{* z. Find the quotient and remainder of: x3 (^) - x' +2 v^ I^ rc +])z^ '- Q^ t+) 4-xz :f4 |^ -t^ ntLt'tF \Q,^rsrot' -Ltl ..-. \ I :, 'l *^ -2-
  1. Considerthepolynomial P(x) =x3 -4x2 +^. a) List all possible^ rational^ roots^ of^ P(x):^ J^ ^ /'*

! (^3)

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Pt" I (^) Ph' b) Find all zeros of P(x). P(r)-- p-,1^ Lt,\ (^) +l , o r' (^) ,, Be (^) sure to show all work. (^) ryq'- lx^

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L 1,u\ r'2-3*-3^ >o z x (^) -3x - I tt-^ ti (^) v'{ar { 3

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