The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.8284\\[1 em]x_2 &= 2.8284\\[1 em]x_3 &= 2i\\[1 em]x_4 &= -2i \end{aligned} $$Polynomial $ x^4-4x^2-32 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.