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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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