Answer
False
Work Step by Step
Let's factor the polynomial $V=5x^3+30x^2+40x$:
$$\begin{align*}
V&=5x^3+30x^2+40x\\
&=5x(x^2+6x+8)\\
&=5x(x+2)(x+4)
\end{align*}$$
The dimensions cannot be $5x$, $x+2$ and $x+5$ because
$$\begin{align*}5x(x+2)(x+5)=5x(x^2+7x+10)=5x^3+35x+50\end{align*}$$
which is not the correct factorization of the polynomial $V$.
The given statement is FALSE.
