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