Factor by Grouping x^2+3x+7x+21

$x^{2} + 3 x + 7 x + 21$

Step 1

Reorder terms.

$x^{2} + 7 x + 3 x + 21$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{2} + 7 x) + 3 x + 21$

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

$x (x + 7) + 3 (x + 7)$

Step 3

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

$(x + 7) (x + 3)$