Factor by Grouping 4v^3+5v^2+24v+30

$4 v^{3} + 5 v^{2} + 24 v + 30$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 v^{3} + 5 v^{2}) + 24 v + 30$

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

$v^{2} (4 v + 5) + 6 (4 v + 5)$

Step 2

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

$(4 v + 5) (v^{2} + 6)$