Answer
$(x-2)(x-6)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the given $\text{
expression
}$
\begin{align*}
x^2-8x+12
\end{align*} has $c=
12
$ and $b=
-8
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
-2,-6
\right\}.$ Using these two numbers, the factored form of the $\text{
expression
}$ above is
\begin{align*}
(x-2)(x-6)
.\end{align*}