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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

$(x + 2) (3 x - 1)$