Answer
$(x+3)(x+8)$
Work Step by Step
The following pairs of numbers give a product of $
24
:$
\begin{array}{l}\require{cancel}
\{ 1,24 \}
\text{ }
\{ 2,12 \}
\text{ }
\{ 3,8 \}
\text{ }
\{ 4,6 \}
.\end{array}
Of these pairs, it is the pair $\{
3,8
\}$ which gives a sum of $
11
.$
Hence, the factored form of the given expression, $
x^2+11x+24
$ is
\begin{array}{l}\require{cancel}
(x+3)(x+8)
.\end{array}
