Factor by Grouping 5x^3+2x^2+15x+6

$5 x^{3} + 2 x^{2} + 15 x + 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{3} + 2 x^{2}) + 15 x + 6$

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

$x^{2} (5 x + 2) + 3 (5 x + 2)$

Step 2

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

$(5 x + 2) (x^{2} + 3)$