Factor 24p^3+15p^2-56p-35

$24 p^{3} + 15 p^{2} - 56 p - 35$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(24 p^{3} + 15 p^{2}) - 56 p - 35$

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

$3 p^{2} (8 p + 5) - 7 (8 p + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $8 p + 5$ .

$(8 p + 5) (3 p^{2} - 7)$