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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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