AnswersOC27 ALG 2-1200330-S1-Degele-VOL7006PSum and Difference of Two Cubes

Factoring Polynomials Completely Answers

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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)
2
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Which value of c would make the following expression completely factored?8x + cy

A
2
B
7
C
12
D
16
3

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
4

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).
5

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
6

What is the completely factored form of x3 – 64x?

A
x(x – 8)(x – 8)
B
(x minus 4) (x squared + 4 x + 16)
Option B
C
x(x – 8)(x + 8)
D
(x – 4)(x + 4)(x + 4)
7

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.
8

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)
9

Which value of a would make the following expression completely factored?x2 – a

A
12
B
36
C
49
D
81
10

What is the completely factored form of xy3 – x3y?

A
xy(y + x)(y – x)
B
xy(y – x)(y – x)
C
x y (x minus y) (x squared + x y + y squared)
Option C
D
x y (x minus y) (y squared + x y + x squared)
Option D

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