Factor this expression completely 8x^2-32x+32

Question

asked Jul 3, 2024 66.0k views

1 Answer

Albator · Answer 1 · 2024-07-07T11:46:21+0000

The completely factored form of the expression 8x^2 - 32x + 32 is 8(x - 2)(x - 2).

To factor the expression completely, we can start by finding the greatest common factor (GCF) of the coefficients. In this case, the GCF is 8.

So, we can factor out 8 from each term.

After factoring out 8, we have:

8(x^2 - 4x + 4)

The expression inside the parentheses is a perfect square trinomial which can be further factored as:

8(x - 2)(x - 2)

So the completely factored form of the expression 8x^2 - 32x + 32 is 8(x - 2)(x - 2).