Unit Test — Unit test Answers

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1
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What is the completely factored form of p4 – 16?

A
(p – 2)(p – 2)(p + 2)(p + 2)
B
(p – 2)(p – 2)(p – 2)(p – 2)
C
(p minus 2) (p + 2) (p squared + 2 p + 4)
Option C
D
(p minus 2) (p + 2) (p squared + 4)
Option D
2
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What are the possible degrees for the polynomial function?

Question illustration
A
degrees of 6 or greater
B
even degrees of 6 or greater
C
degrees of 5 or greater
D
odd degrees of 5 or greater
5

Which expression is equivalent to 6x2 – 19x – 55?

A
(2x – 11)(3x + 5)
B
(2x + 11)(3x – 5)
C
(6x – 11)(x + 5)
D
(6x + 11)(x – 5)
6

What is the difference of the polynomials?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
9

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?

Question illustration
A
He makes a subtraction error.
B
He makes an error writing the constant term in the quotient.
C
He makes an error choosing the x-term in the quotient.
D
He makes an error rewriting the problem in long division.
10

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x + 2)(x + 60)
B
(x – 2)(x – 60)
C
(x – 10)(x + 2)(x + 6)
D
(x + 10)(x – 2)(x – 6)
11

Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?y = 2x6 + 9x5 – 7x3 – 1

A
Both ends of the graph will approach negative infinity.
B
The ends of the graph will extend in opposite directions.
C
Both ends of the graph will approach positive infinity.
D
The ends of the graph will approach zero.
12

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

A
x cubed minus x squared + x minus 1
Option A
B
x3
C
x cubed + x squared + x + 1
Option C
D
x3 – 2
13

If (x – 2k) is a factor of f(x), which of the following must be true?

A
f(2k) = 0
B
f(–2k) = 0
C
A root of f(x) is x = –2k.
D
A y intercept of f(x) is x = 2k.
15

What is the factored form of ?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
17

Which is the completely factored form of 4x2 + 28x + 49?

A
(x + 7)(4x + 7)
B
4(x + 7)(x + 7)
C
(2x + 7)(2x + 7)
D
2(x + 7)(x + 7)
18

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.
19

What is the product?

Question illustration
A
mc008-2.jpg
Option A
B
mc008-3.jpg
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D

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