Factor x^3-6x^2+2x-12

$x^{3} - 6 x^{2} + 2 x - 12$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - 6 x^{2}) + 2 x - 12$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 6$ .

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