Answers2627 ALGEBRA II AFunction Operations

Factoring Polynomials Completely Answers

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What is the factored form of x3 + 64?

A
(x2 + 8)(x + 8)
B
(x + 4)(x2 – 4x + 16)
C
(x – 4)(x2 + 4x + 16)
3

What is the factored form of x6 – 9?

A
(x + 3)(x – 3)
B
(x5 + 3)(x – 3)
C
(x3 + 3)(x2 – 3)
D
(x3 + 3)(x3 – 3)
4

Which expression is equivalent to x6 – 9?

A
(x3)2 – 33
B
(x3)2 – 32
C
(x3)3 – 32
5

Which expression is equal to the polynomial below?2x4 + 5x3 – 8x – 20

A
x3(2x + 5) + 4(2x – 5)
B
x3(2x + 5) – 4(2x + 5)
C
x3(2x – 5) – 4(2x – 5)
D
x3(2x + 5) + 4(2x + 5)
6

After the common factor is removed, the remaining factor is a .

A
perfect-square trinomial
B
trinomial that is not a perfect square
C
sum of cubes
D
difference of squares
8

This polynomial is an example of a difference of cubes✔ difference of squaresperfect-square trinomialX sum of cubes.

A
difference of cubes
B
✔ difference of squares
C
perfect-square trinomial
D
X sum of cubes
10

x2 – 9 can be factored using the formula.

A
difference-of-squares
B
difference-of-cubes
C
sum-of-cubes
11

Factor out the common factor.

A
2x4 + 5x3 – 8x –20
B
(x3 + 4)(–2x – 5)
C
(x3 – 4)(2x + 5)
D
(x3 + 4)(2x + 5)
12

What is the completely factored form of x3 + 4x2 – 9x – 36?

A
(x + 3)(x – 3)
B
(x2 – 9)(x + 4)
C
(x + 3)(x – 3)(x + 4)
D
(x – 3)(x – 3)(x + 4)

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