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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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