Factor 2x^3+x^2+12x+6

$2 x^{3} + x^{2} + 12 x + 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} + x^{2}) + 12 x + 6$

Factor out the greatest common factor (GCF) from each group.

$x^{2} (2 x + 1) + 6 (2 x + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x + 1$ .

$(2 x + 1) (x^{2} + 6)$