Factor by Grouping 4x^3+20x^2-3x-15

$4 x^{3} + 20 x^{2} - 3 x - 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{3} + 20 x^{2}) - 3 x - 15$

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

$4 x^{2} (x + 5) - 3 (x + 5)$

Step 2

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

$(x + 5) (4 x^{2} - 3)$