factor out gcf 3x2+6x+3

The GCF is the Greatest Common Factor - the largest factor that exists in each of the terms. To start, let's factor each term:

3x^{2} = (3)(x)(x)

6x = (2)(3)(x)

3 = (3)(1)

The largest factor that exists in each term is (3), so factoring it out, we get:

(3)(x^{2} + 2x + 1)

## Comments

Perfect answer, and very clear explanation.