Factor x^3+7x^2-7x-49

$x^{3} + 7 x^{2} - 7 x - 49$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 7 x^{2}) - 7 x - 49$

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

$x^{2} (x + 7) - 7 (x + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 7$ .

$(x + 7) (x^{2} - 7)$