Factor by Grouping 5v^3+2v^2+25v+10

$5 v^{3} + 2 v^{2} + 25 v + 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 v^{3} + 2 v^{2}) + 25 v + 10$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 v + 2$ .

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