Factor the GCF out of: 8 x + 12 8x+12

Here we have the polynomial eight x plus 12, and we want to factor it using the GCF method. So first, we need to identify what the greatest common factor is. So we're going to list out the prime factorization for each of our terms. We know that the prime factorization for eight is two times two times two, and for x is just x. And the prime factorization for 12 is two times two times three. So the factors that they have in common are two, as well as a second two, which makes our greatest common factor two times two, which is four. So now I want to rewrite each term as a product with the greatest common factor. So what can I multiply four by to get eight x? Well that would be two x. So I can rewrite eight x as four times two x. And what can I multiply four by to get 12? That's three. So I can rewrite 12 as four times three. Now I can factor out four and I'm left with two x plus three. And this here is our final answer.

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Prealgebra & Beginning Algebra

14. Factoring Polynomials

Factoring by Greatest Common Factor & Grouping

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Multiple Choice

Factor the GCF out of:
$8 x plus 12$

$2 (4 x + 6)$

$2 (4 x + 3)$

$4 (2 x + 3)$

$4 (2 x + 6)$

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