Factor by Grouping 4v^3+3v^2-20v-15

$4 v^{3} + 3 v^{2} - 20 v - 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 v^{3} + 3 v^{2}) - 20 v - 15$

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

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

Step 2

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

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