Answer
$(x-1)(x-2)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the given $\text{
expression
}$
\begin{align*}
x^2-3x+2
\end{align*} has $c=
2
$ and $b=
-3
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
-1,-2
\right\}.$ Using these two numbers, the factored form of the $\text{
expression
}$ above is
\begin{align*}
&
(x-1)(x-2)
\end{align*}