Answer
$(p+15)^2$
Work Step by Step
The given polynomial is
$\Rightarrow p^2+30p+225$
Write the the polynomial as $a^2+2ab+b^2$. $\Rightarrow p^2+2(p)(15)+15^2$.
Use perfect square trinomial pattern $a^2+2ab+b^2=(a+b)^2$.
We have $a=p$ and $b=15$.
$\Rightarrow (p+15)^2$
Hence, the factor of the polynomial is $(p+15)^2$.
