Exam Prep 5e Polynomial And Rational Functions Chapter.4 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

Exam Prep 5e Polynomial And Rational Functions Chapter.4

College Algebra, 5e (Young)

Chapter 4 Polynomial and Rational Functions

4.3 Dividing Polynomials: Long Division and Synthetic Division

1) Use long division to divide the polynomials. Express the answers in the form of Q(x) = and r(x) =

((x) with superscript (2) + 5x + 16) ÷ (x + 3)

A) Q(x) = x + 2; r(x) = 10

B) Q(x) = x + 2; r(x) = 0

C) Q(x) = (x) with superscript (2) + 4x + 13; r(x) = 10

D) Q(x) = x + 2; r(x) = -10

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.

2) Use long division to divide (20(x) with superscript (3) + 27(x) with superscript (2) + 29x + 12) by (5x + 3).

Diff: 3 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.

3) Use long division to divide (16(x) with superscript (4) + 24(x) with superscript (3) + 21(x) with superscript (2) + 20x + 4) by (4x + 1).

Diff: 4 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.

4) Compute the following using synthetic division.

( (x) with superscript (4) - 5(x) with superscript (3) - 5(x) with superscript (2) + 22x + 8) ÷ (x + 2)

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with synthetic division.

5) Divide the polynomials by either long division or synthetic division.

(40(x) with superscript (4) + 34(x) with superscript (3) - 25(x) with superscript (2) - 23x + 10) ÷ (5x - 2)

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.; Divide polynomials with synthetic division.

6) Divide the polynomials.

((x) with superscript (2) - 4/x - 2)

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.; Divide polynomials with synthetic division.

7) Divide the polynomials.

((x) with superscript (2) - 343/x - 7)

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.; Divide polynomials with synthetic division.

8) Divide the polynomials by either long division or synthetic division.

((x) with superscript (4) - 6) ÷ ((x) with superscript (2) - 8)

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.; Divide polynomials with synthetic division.

9) The area of a rectangle is (12(x) with superscript (4) + 34(x) with superscript (3) + 2(x) with superscript (2) + 28x - 32). If the width of the rectangle is (6x - 4), find the length.

Diff: 2 Var: 1

Chapter/Section: Ch 04, Sec 03

Learning Objective: Divide polynomials with long division.; Divide polynomials with synthetic division.

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Document Information

Document Type:
DOCX
Chapter Number:
4
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 4 Polynomial And Rational Functions
Author:
Cynthia Y. Young

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