#### Answer

$x^2-14x+24=(x-12)(x-2)$

#### Work Step by Step

The leading coefficient is 1.
Thus, to factor the trinomial, just look for factors of $24$ whose sum is equal to the coefficient of the middle term.
Note that
$24=-12(-2) \text{ and } -12+(-2)=-14$.
Therefore, the factored form of the trinomial is
$(x-12)(x-2)$.