Factor the polynomial completely. 2x2 + 2x – 4 the gcf for each term of the polynomial is . there are terms to be factored. the product of prime polynomials is .

The correct factorization would be 2(x + 2)(x - 1).

In order to find this, start by taking out the GCF for the whole equation. 
2x^2 + 2x - 4
2(x^2 + x - 2)

Now you can factor the parenthesis separately.
x^2 + x - 2
(x + 2)(x - 1)

Then just put all 3 parts together.
2(x + 2)(x - 1)