Answer
$(x-50)(x+2)$
Work Step by Step
The two numbers whose product is $ac=
1(-100)=-100
$ and whose sum is $b=
-48
$ are $\{
-50,2
\}$. Using these two numbers to decompose the middle term, then the factored form of the expression, $
x^2-48x-100
$, is
\begin{array}{l}\require{cancel}
x^2-50x+2x-100
\\\\=
(x^2-50x)+(2x-100)
\\\\=
x(x-50)+2(x-50)
\\\\=
(x-50)(x+2)
.\end{array}
