Factor 2x^3-3x^2-10x+15

$2 x^{3} - 3 x^{2} - 10 x + 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} - 3 x^{2}) - 10 x + 15$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x - 3$ .

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