Factor by Grouping 4v^3+7v^2+12v+21

$4 v^{3} + 7 v^{2} + 12 v + 21$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 v^{3} + 7 v^{2}) + 12 v + 21$

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

$v^{2} (4 v + 7) + 3 (4 v + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 v + 7$ .

$(4 v + 7) (v^{2} + 3)$