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

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$x (x + 3) - 5 (x + 3)$

Step 2

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

$(x + 3) (x - 5)$