Answer
$(k-8)(k+3)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $
k^2-5k-24
,$ has $c=
-24
$ and $b=
-5
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
-8,3
\right\}.$ Using these two numbers, the factored form of the expression above is
\begin{align*}
(k-8)(k+3)
.\end{align*}
