Prove that $\displaystyle x^4 - x^2 + 1$ is reducible over $\displaystyle \mathbb{F}_p$ for every prime $\displaystyle p$.

I know $\displaystyle x^4 - x^2 + 1$ is the 12th cyclotomic polynomial and know a few properties of such polynomials, but I'm not sure if that really helps here. I can also show that $\displaystyle p^2 -1$ is divisible by 12 for $\displaystyle p>3$ but can't seem to make use of that (although have been given a hint that this would be useful).