Does $\mathbb{Z}/p^2\mathbb{Z}[x]$ have unique factorisation?

Question

Let $p$ be a prime greater than $2$.

Does $$\left(\mathbb{Z}/p^2\mathbb{Z}\right)[x]$$ have unique factorisation ?

Of course this is valid if one considers

$$\left(\mathbb{Z}/p\mathbb{Z}\right)[x]$$

instead.