Chapter 5 - Polynomials and Polynomial Functions - 5-1 Polynomial Functions - Practice and Problem-Solving Exercises - Page 287: 71

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

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 $(x-12)(x-2)$.