Factor by Grouping 6x^3-15x^2+4x-10

$6 x^{3} - 15 x^{2} + 4 x - 10$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{3} - 15 x^{2}) + 4 x - 10$

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

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

Step 2

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

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