The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.3131\\[1 em]x_2 &= -2.109\\[1 em]x_3 &= -0.1021+2.2157i\\[1 em]x_4 &= -0.1021-2.2157i \end{aligned} $$Polynomial $ x^4-2x-24 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.