Answer
$(x+4)(x+10)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the given $\text{
expression
}$
\begin{align*}
x^2+14x+40
\end{align*} has $c=
40
$ and $b=
14
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
4,10
\right\}.$ Using these two numbers, the factored form of the $\text{
expression
}$ above is
\begin{align*}
(x+4)(x+10)
.\end{align*}
