Answer:
4x² - 4x - 8 can be factored into 4(x - 2)(x + 1)
Explanation:
First, we can factor out 4, as all terms are divisible by that:
4x² - 4x - 8
= 4(x² - x - 2)
Now we need to find two numbers that are are factors of -2, but add up to -1. -2 and 1 meet that condition, so let's split the middle term into those coefficients:
=4(x² + x - 2x - 2)
= 4( x(x + 1) - 2(x - 1) )
= 4(x - 2)(x + 1)