Answer
$(x+1)(x-6)$
Work Step by Step
The given expression, $
x^2-5x-6
,$ has $c=
-6
$ and $b=
-5
.$
The possible factors of $c$ are $
\{ 1,-6 \}
,\{ 2,-3 \}
,\{ -1,6 \}
,\{ -2,3 \}
$. Among these factors, the pair whose sum is equal to $b$ is $\{
1,-6
\}.$ Hence, the factored form is
\begin{array}{l}\require{cancel}
(x+1)(x-6)
.\end{array}