Question

Select the two binomials that are factors of 64x^2 – 36.

A. 8x + 12
B. 8x – 3
C. 8x + 6
D. 8x – 6

Answer 1

8x+6 and 8x-6

C and D are correct.

Explanation:

Given:
`64x^2-36`

We need to factor it and choose two polynomial of factored form.

`\Rightarrow 64x^2-36`

First we write as perfect square each term and difference of square

`\Rightarrow (8x)^2-6^2`

Because 64 = 8x8 and 36=6x6

Using difference of square identity,

`a^2-b^2=(a+b)(a-b)`

`\Rightarrow (8x+6)(8x-6)`

Thus, Two factors are 8x+6 and 8x-6

Two binomial of factors are 8x+6 and 8x-6