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

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 3

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

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