Factor by Grouping 5v^3+7v^2+10v+14

$5 v^{3} + 7 v^{2} + 10 v + 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 v^{3} + 7 v^{2}) + 10 v + 14$

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

$v^{2} (5 v + 7) + 2 (5 v + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 v + 7$ .

$(5 v + 7) (v^{2} + 2)$