Let $f : \mathbb{C} \to \mathbb{C}$ be a D4312: Complex polynomial function such that

(i)	$a, b, c \in \mathbb{C}$ are each a D1207: Complex number
(ii)	\begin{equation} f(z) = a z^2 + (a b + a c) z + a b c \end{equation}

Then \begin{equation} f(z) = a (z + b) (z + c) \end{equation}