Answers26MATH_Recovery_Alg1B22Multiplying Polynomials and Simplifying Expressions

Factoring Polynomials: Difference of Squares Answers

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1
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What are the two binomial factors for x2 – 25?

A
(x – 5)(x – 5)
B
(x + 5)(x + 5)
C
(x – 20)(x + 5)
D
(x – 5)(x + 5)
2
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Consider the polynomial 9x2 – 16.

Answers:
What is the value of ac?:–144
What is the value of b?:0
What two numbers multiply to get ac and add to get b?:–12 and 12
The factored form of 9x2 – 16 is .:(3x – 4)(3x + 4)
3

The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.

Answers:
The value of a is .:9x
The value of b is .:7
The product of the prime factors is .:(9x – 7)(9x + 7)
4

What is the factored form of 36x4 – 25?

A
(6x2 – 5)(6x2 + 5)
B
(6x2 – 5)(6x2 – 5)
C
(6x2 – 25)(6x2 + 25)
D
(6x2 – 25)(6x2 – 25)

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Factoring Polynomials: Difference of Squares

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