Factor by Grouping 2x^3-6x^2+5x-15

$2 x^{3} - 6 x^{2} + 5 x - 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} - 6 x^{2}) + 5 x - 15$

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

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

Step 2

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

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