Factor by Grouping 3u^3+2u^2+21u+14

$3 u^{3} + 2 u^{2} + 21 u + 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 u^{3} + 2 u^{2}) + 21 u + 14$

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

$u^{2} (3 u + 2) + 7 (3 u + 2)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 u + 2$ .

$(3 u + 2) (u^{2} + 7)$