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MTH: College Algebra Chapter 4 Review Test, Study notes of Algebra

Saint Louis Community College - MeramecAlgebra

A college algebra test focusing on chapter 4, which covers topics such as finding possible rational zeros, writing factors of a polynomial, finding zeros and their multiplicity, long division, synthetic division, and finding a polynomial function of degree 3 with given zeros. Students are required to show their work and place final answers in the provided spaces.

Typology: Study notes

Pre 2010

Uploaded on 08/08/2009

koofers-user-jo0
koofers-user-jo0 🇺🇸

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MTH: 160 COLLEGE ALGEBRA NAME_________________________
CHAPTER 4 Review
Please show all your work on this test
and place your final answers in the provided spaces.
Thank you and good luck.
1) See Worksheet Section 3.1 & 3.2
3 2
2) List all possible rational zeros.
1 1 1 1
( ) Ans:_____________________________
5 3 6 10
f x x x x
3) Given that a polynomial has the given zeros: 7, - 7, 5 + 3i, 5 - 3i, -3.
Write the factors of the polynomial, but do not foil.
Ans:___________________________________________________________________ _____
3 4 5
4) Find the zeros of the polynomial function and state the multiplicity of each.
( ) 10 5 7 Ans:_____________________________f x x x x
1
pf3
pf4
pf5

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MTH: 160 COLLEGE ALGEBRA NAME_________________________

CHAPTER 4 Review Please show all your work on this test and place your final answers in the provided spaces. Thank you and good luck.

  1. See Worksheet Section 3.1 & 3. 3 2
  2. List all possible rational zeros. 1 1 1 1 ( ) Ans:_____________________________ 5 3 6 10 f xxxx
  3. Given that a polynomial has the given zeros: 7, - 7, 5 + 3i, 5 - 3i, -3. Write the factors of the polynomial, but do not foil. Ans:________________________________________________________________________

(^3 4 )

  1. Find the zeros of the polynomial function and state the multiplicity of each. f x ( )  10 x  5 x  7 x Ans:_____________________________

3

  1. Use long division to find the quotient Q(x) and the remainder R(x), given: a) ( ) 2 12 ( ) : _____________________________ ( ) 2 ( ) : _____________________________ P x x Q x d x x R x

4 2 2 b) ( ) 6 5 ( ) : ______________________________ ( ) 1 ( ) : ______________________________ P x x x Q x d x x R x

  1. Find a polynomial function of degree 3 with the given numbers as zeros: 5, 3i, -3i Ans:__________________________
  2. Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. What are the other zeros? a) 7, 3 - 5i, 7 - 3 Ans:_______________________ b) -7, 3i, -5i Ans:_______________________

2

  1. Given the rational functions in part a) and b): state the following if they exist: 2 a) ( ) 2 15 Domain : { x | } VA's: HA: Does graph cross HA? If so, where? X- x f x x x

intercept's : Y-intercept : 2 b) ( ) (^22) Domain : { x | } VA's: HA: Does graph cross HA? If so, where? X-intercept's : Y-intercept : x f x x x