AnswersFL-1200310-Algebra 1Factoring Polynomials: Difference of Squares

Factoring Polynomials: Difference of Squares Answers

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Which expressions are equivalent to 25x4 −64? Select three options.

A
25x4 + 40x − 40x − 64
B
25x4 + 13x − 13x − 64
C
(5x2 + 8)(5x2 − 8)
D
(x2 + 13)(x2 – 13)
E
(5x2 – 8)2
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Which term is a perfect square of the root 3x4?

A
6x8
B
6x16
C
9x8
D
9x16
3

Which expression is equivalent to 100 n2 − 1?

A
(10n)2 − (1)2
B
(10n2)2 − (1)2
C
(50n)2 − (1)2
D
(50n2)2 − (1)2
4

Which expression is a difference of squares with a factor of 2x + 5?

A
4x2 + 10
B
4x2 – 10
C
4x2 + 25
D
4x2 – 25
5

What is the factorization of 49b2 − 81?

A
(7b – 9)(7b – 9)
B
(7b – 9)(7b + 9)
C
(7b2 – 9)(7b2 – 9)
D
(7b2 – 9)(7b2 + 9)
6

Which polynomial can be simplified to a difference of squares?

A
10a2 + 3a – 3a – 16
B
16a2 – 4a + 4a – 1
C
25a2 + 6a – 6a + 36
D
24a2 – 9a + 9a + 4
7

What is the square root of m6?

A
m2
B
m3
C
m4
D
m5
8

What is the square root of 16x36?

A
4x6
B
4x18
C
8x6
D
8x18
9

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
10

What are the factors of x2 – 100?

A
(x – 50)(x + 50)
B
(x – 10)(x + 10)
C
(x – 25)(x + 4)
D
(x – 5)(x + 20)

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