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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 6$ .

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