Answer
$(x-6)(x+1)$
Work Step by Step
The given expression $x^2-5x-6$ has $a=1, b=-5$, and $c=-6$.
Look for factors of $-6$ whose sum is $-5$.
The factors are $-6$ and $1$.
Rewriting $-5x$ using the factors found yields $-6x+1x$.
Thus, the given polynomial is equivalent to $x^2-6x+1x-6$
Group the first two terms together and group the last two terms together to obtain:
$=(x^2-6x)+(1x-6)$
Factor out the greatest common factor (GCF) of each group.
$=x(x-6)+1(x-6)$
Factor out $(x-6)$.
$=(x-6)(x+1)$
