Factor x^3-8x^2+9x-72

$x^{3} - 8 x^{2} + 9 x - 72$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - 8 x^{2}) + 9 x - 72$

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

$x^{2} (x - 8) + 9 (x - 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 8$ .

$(x - 8) (x^{2} + 9)$