Factor x^2+7x+2x+14

$x^{2} + 7 x + 2 x + 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{2} + 7 x) + 2 x + 14$

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

$x (x + 7) + 2 (x + 7)$

Step 2

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

$(x + 7) (x + 2)$