Factor 2x^2-3x+6x-9

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$2 x (x + 3) - 3 (x + 3)$

Step 3

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

$(x + 3) (2 x - 3)$