AnswersOC27 ALG 2-1200330-S1-Degele-VOL7006PSynthetic Division and the Remainder Theorem

Chapter 4 Part 1 Unit TEST: Polynomial Functions Answers

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What is the cube root of

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Subtract 15mn – 22m +2n from 14mn – 12m +7n.

A
–mn + 10m + 5n
B
–mn – 34m + 5n
C
–mn – 34m + 9n
D
29mn – 34m + 9n
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What is the factored form of ?

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What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
5

If (x + k) is a factor of f(x), which of the following must be true?

A
f(k) = 0
B
f(–k) = 0
C
A root of f(x) is x = k.
D
A y intercept of f(x) is x = –k.
6

Which statement about 4x2 + 19x – 5 is true?

A
One of the factors is (x – 4).
B
One of the factors is (4x + 1).
C
One of the factors is (4x – 5).
D
One of the factors is (x + 5).
7

If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
8

Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan’s room?

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What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

A
2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves
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B
2x2 + x – 3 –
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C
2x2 – x
D
2x2 + x – 3
10

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

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The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

A
x + 5
B
x – 15
C
x + 15
D
x – 5
12

Which expression is a difference of cubes?

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A small cube with side length 6y is placed inside a larger cube with side length . What is the difference in the volume of the cubes?

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What is the completely factored form of ?

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A
(2x - 5)(3x + 1)
B
(2x + 5)(3x - 1)
C
(2x - 1)(3x - 5)
D
(2x + 1)(3x + 5)
15

Which expression shows the sum of the polynomials with like terms grouped together?

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Chapter 4 Part 1 Unit TEST: Polynomial Functions…