Answer
$(x+1)(x+10)$
Work Step by Step
The given expression, $
x^2+11x+10
,$ has $c=
10
$ and $b=
11
.$
The possible factors of $c$ are $
\{ 1,10 \}
,\{ 2,5 \}
,\{ -1,-10 \}
,\{ -2,-5 \}
$. Among these factors, the pair whose sum is equal to $b$ is $\{
1,10
\}.$ Hence, the factored form is
\begin{array}{l}\require{cancel}
(x+1)(x+10)
.\end{array}