Answer
$Q(x)=x^3-3x^2+4x-12$
Work Step by Step
The factor theorem says that if $f(c)=0$, then $(x-c)$ is a factor of $f(x)$ and if $(x-c)$ is a factor of $f(x)$, then $f(c)=0$.
Using the known zeros, we construct the original function from the factors:
$Q=(x-3)(x-2i)(x-(-2i))=x^3-3x^2+4x-12$