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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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