Factor x^2+3x+xk+3k

$x^{2} + 3 x + x k + 3 k$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{2} + 3 x) + x k + 3 k$

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

$x (x + 3) + k (x + 3)$

Step 2

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

$(x + 3) (x + k)$