Answer：
x²-5x-6
Factor the expression by grouping. First, the expression needs to be rewritten as x²+ax+bx-6 to find a and b, set up a system to be solved.
a+d=-5
a+d=-5ab=1(-6)=-6
Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -6.
1,-6
1,-62,-3
Calculate the sum for each pair.
1−6=−5
1−6=−52-3=-1
The solution is the pair that gives sum -5.
a=-6
b=1
Rewrite x²5x-6 as
(x²-6x)+(x-6)
Factor out x in x²-6x.
x(x-6)+x-6
Factor out common term x−6 by using distributive property.
(x-6)(x+1)
DONE