Answer
$(x+2)(x+3)$
Work Step by Step
To factor a second-degree polynomial $x^2 + 5x + 6$, we have to find integers whose product is $6$ and whose sum is $5$. That is, we have $2$ and $3$ where $2+3=5$ and $2\times 3=6$. Thus:
$$
x^2 + 5x + 6=(x+2)(x+3)
.$$
