Answer
Correct factorization
Work Step by Step
We graph the polynomial functions:
$$\begin{align*}
p_1(x)&=9x^2+12x+4\\
p_2(x)&=(3x+2)^2.
\end{align*}$$
Because the two graphs coincide, this means that the polynomial $p(x)=9x^2+12x+4$ was factored correctly.