Factor by Grouping 6x^3-4x^2+9x-6

$6 x^{3} - 4 x^{2} + 9 x - 6$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{3} - 4 x^{2}) + 9 x - 6$

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

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

Step 2

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

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