Answer
$2(x+1)(3x+1)$
Work Step by Step
We have
$6x^2 + 8x + 2=2(3x^2+4x+1)=2(3x^2+3x+x+1)$
By grouping the first two terms and the second two terms, and then taking common factors, we have
$$
2(3x^2+3x+x+1)=2(3x(x+1)+(x+1))=2(x+1)(3x+1)
.$$