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Factoring Polynomials Completely Answers

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1
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What is the factored form of a2 – 121?

A
(a – 121)(a – 1)
B
(a – 11)(a + 11)
C
(a + 11)(a + 11)
D
(a – 121)(a + 1)
2
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A student factors 3x2 – 12 to the following. 3(x2 – 4)Which statement about 3(x2 – 4) 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.
3

Which statement about 6x2 + 7x – 10 is true?

A
One of the factors is (x + 2).
B
One of the factors is (3x – 2).
C
One of the factors is (2x + 5).
D
One of the factors is (x – 5).
4

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?

A
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
Option A
B
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
Option B
C
x (x cubed + 2) (3 x minus 7)
Option C
D
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)
Option D
5

What is the factored form of 6n4 – 24n3 + 18n?

A
6 n (n Superscript 4 Baseline + 4 n cubed + 3n)
Option A
B
6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n)
Option B
C
6 n (n cubed minus 4 n squared + 3)
Option C
D
6 n (n cubed + 4 n squared + 3)
Option D
6

What is the factored form of 2x3 + 4x2 – x?

A
2 x (x squared + 2 x + 1)
Option A
B
x (2 x squared + 4 x + 1)
Option B
C
2 x (x squared + 2 x minus 1)
Option C
D
x (2 x squared + 4 x minus 1)
Option D
7

What is the completely factored form of x4 + 8x2 – 9?

A
(x + 1)(x – 1)(x + 3)(x + 3)
B
(x + 1) (x minus 1) (x squared + 9)
Option B
C
(x2 – 1)(x + 3)(x – 3)
D
(x + 1)(x + 1)(x + 3)(x + 3)
8

What is the factored form of n2 – 25?

A
(n – 25)(n – 1)
B
(n – 5)(n + 5)
C
(n + 5)(n + 5)
D
(n – 25)(n + 1)
9

Which polynomial is factored completely?

A
4 (4 x Superscript 4 Baseline minus 1)
Option A
B
2 x (y cubed minus 4 y squared + 5y)
Option B
C
3 x (9 x squared + 1)
Option C
D
5 x squared minus 17 x + 14
Option D
10

Which polynomial is factored completely?

A
g Superscript 5 Baseline minus g
Option A
B
4 g cubed + 18 g squared + 20 g
Option B
C
24 g squared minus 6 g Superscript 4
Option C
D
2 g squared + 5 g + 4
Option D

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