Question

Truett multiplied (5x - 2) by a second binomial and got the

product of 25x2 - 4. Which of the following was the second
binomial?

Answer 1

5x + 2

Explanation:

Let the second binomial = y

(5x - 2) * y = 25x^2 - 4

note 25x^2 - 4 = (5x)^2 - 2^2 = (5x - 2)(5x + 2)

Then

(5x - 2) * y = (5x - 2((5x + 2)

Compare bth sides, we get

y = 5x + 2

Answer 2

Explanation:

Usually I report these kinds of questions. Most of the time you need to know the choices. This question does not require them.

Factor

25x^2 - 4 This binomial lends itself to factoring by difference of squares.

√25x^2 = 5x

√4 = 2

Those two monomials have other factors, but these are the only 2 that matter

So 25x^2 - 4 = (5x + 2) and (5x - 2)

The second binomial was (5x + 2)