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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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