Answer
$(x+1)(x+6)$
Work Step by Step
To factor a second-degree polynomial $x^2 + 7x + 6$, we have to find integers whose product is $6$ and whose sum is $7$. That is, we have $1$ and $6$ where $1+6=7$ and $1\times 6=6$. Thus:
$$
x^2 + 7x + 6=(x+1)(x+6)
.$$
