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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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