Final answer to the problem
$\left(x-1\right)\left(x-2\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the trinomial $x^2-3x+2$ finding two numbers that multiply to form $2$ and added form $-3$
$\begin{matrix}\left(-1\right)\left(-2\right)=2\\ \left(-1\right)+\left(-2\right)=-3\end{matrix}$
2
Thus
$\left(x-1\right)\left(x-2\right)$
Final answer to the problem
$\left(x-1\right)\left(x-2\right)$