Answer
$(x-3)(x-2)$
Work Step by Step
Recall:
$x^2+bx+c=(x+d)(x+e)$ where $b=d+e$ and $c=d\cdot e$.
The given trinomial has $b=-5$ and $c=6$.
Note that:
$6=(-3)(-2)$
and
$-5=-3+(-2)$.
This means that $d=-3$ and $e=-2$.
Hence, the factored form of the given trinomial is:
$$x^2-5x+6=(x-3)(x-2)$$
