Answer
$(x+2)(x+7)$
Work Step by Step
The following pairs of numbers give a product of $
14
:$
\begin{array}{l}\require{cancel}
\{ 1,14 \}
\text{ }
\{ 2,7 \}
.\end{array}
Of these pairs, the pair $\{
2,7
\}$ gives a sum of $
9
.$
Hence, the factored form of the given expression, $
x^2+9x+14
$ is
\begin{array}{l}\require{cancel}
(x+2)(x+7)
.\end{array}
