Factor by Grouping 3w^3+4w^2+9w+12

$3 w^{3} + 4 w^{2} + 9 w + 12$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 w^{3} + 4 w^{2}) + 9 w + 12$

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

$w^{2} (3 w + 4) + 3 (3 w + 4)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 w + 4$ .

$(3 w + 4) (w^{2} + 3)$