Answer
$(h+2)(h+9)$.
Work Step by Step
The given polynomial is
$=h^2+11h+18$
Standard form is $x^2+bx+c$.
We have $b=11$ and $c=18$.
$b$ and $c$ is positive.
Factor pair of $18$, whose sum is $11$:
$2,9$
The values of $p$ and $q$ are $2$ and $9$.
Hence, the factor of the polynomial is $(h+p)(h+q)=(h+2)(h+9)$.
Check:-
$=(h+2)(h+9)$
$=h^2+9h+2h+18$
$=h^2+11h+18$
True.