Factor x^3-3x^2+15-5x

$x^{3} - 3 x^{2} + 15 - 5 x$

Step 1

Reorder terms.

$x^{3} - 3 x^{2} - 5 x + 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - 3 x^{2}) - 5 x + 15$

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

$x^{2} (x - 3) - 5 (x - 3)$

Step 3

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

$(x - 3) (x^{2} - 5)$