Let $\displaystyle P(x) = x^5 + 8x^2$. Find all the zeros of P, real and complex.

I factor to this:

$\displaystyle 0=x^2(x^3+8)$, giving me zeros of 0 and -2. ARE there any complex zeros? The reason I ask is because the next part of the question is "Express P as a product of linear and irreducible quadratic factors with real coefficients"

Where am I going wrong?