Answer
(x + 4)(x + 3)
Work Step by Step
$x^{2} + 7x + 12$
To factor this, we need two factors of 12 such that their sum is 7.
Thus the factors are 4 and 3.
$x^{2} + 7x + 12$ = $x^{2} + 3x + 4x + 12$
=x(x + 3) + 4(x + 3) = (x + 4)(x + 3) .