Factor by Grouping 5v^3+4v^2+15v+12

$5 v^{3} + 4 v^{2} + 15 v + 12$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 v^{3} + 4 v^{2}) + 15 v + 12$

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

$v^{2} (5 v + 4) + 3 (5 v + 4)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 v + 4$ .

$(5 v + 4) (v^{2} + 3)$