#### Answer

(x+2)(x+3)

#### Work Step by Step

$x^{2}$ + 5x + 6
step 1. Enter x as the first term of each factor
$x^{2}$ + 5x + 6 = (x+__)(x+__)
Step 2. To find the second term of each factor, we must find two integers whose product is 6 and whose sum is 5
List pairs of factors of the constant, 6
(1,6)(2,3)
step 3. The correct factorization of $x^{2}$ + 5x + 6 is the one in which the sum of the Outside and Inside products is equal to 5x.
So (2,3) satisfy the condition
$x^{2}$ + 5x + 6 = $x^{2}$ +2x+3x + 6 = (x+2)(x+3)