Answer
$(s+5)(s+6)$.
Work Step by Step
The given polynomial is
$=s^2+11s+30$
Standard form is $x^2+bx+c$.
We have $b=11$ and $c=30$.
$b$ and $c$ is positive.
Factor pair of $30$, whose sum is $11$:-
$5,6$
The values of $p$ and $q$ are $5$ and $6$.
Hence, the factor of the polynomial is $(s+p)(s+q)=(s+5)(s+6)$.
Check:-
$=(s+5)(s+6)$
$=s^2+6s+5s+30$
$=s^2+11s+30$
True.
