Answer
$(x+1)(x+10)$
Work Step by Step
To factor a second-degree polynomial $x^2 + 11x + 10$, we have to find integers whose product is $10$ and whose sum is $11$. That is, we have $1$ and $10$ where $1+10=11$ and $1\times 10=10$. Thus:
$$
x^2 +11x + 10=(x+1)(x+10)
.$$