27.0k views
3 votes
Select the correct answer. What is the complete factorization of 8x2 − 8x + 2?

User Xlembouras
by
7.8k points

1 Answer

4 votes

Answer: 2(4x - 1)(2x - 1

Explanation:

First, we need to find the factors of 8 and 2. The factors of 8 are 1, 2, 4, and 8, while the factors of 2 are 1 and 2.

Next, we need to find two numbers that multiply to give us 8 and add up to -8. These numbers are -2 and -6.

Now we can rewrite the expression as follows:

8x^2 - 8x + 2 = 8x^2 - 2x - 6x + 2

= (8x^2 - 2x) + (-6x + 2)

= 2x(4x - 1) - 2(3x - 1)

= *2(4x - 1)(2x - 1)*

Therefore, the complete factorization of 8x^2 − 8x + 2 is 2(4x - 1)(2x - 1).

User Nazmus Saadat
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.