Answer
$(x+6)^2$
Work Step by Step
RECALL:
A trinomial of the form $x^2+bx+c$ can be factored if there are integers $d$ and $e$ such that $c=de$ and $b=d+e$.
The trinomial's factored form will be:
$x^2+bx+c=(x+d)(x+e)$
The given trinomial has $b=12$ and $c=36$.
Note that $36=6(6)$ and $12= 6+6$.
This means that $d=6$ and $e=6$.
Thus, the factored form of the trinomial is:
$(x+6)(x+6)=(x+6)^2$
