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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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