Factor by Grouping 12x^3-20x^2+9x-15

$12 x^{3} - 20 x^{2} + 9 x - 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(12 x^{3} - 20 x^{2}) + 9 x - 15$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 5$ .

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