The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8356\\[1 em]x_2 &= -1.6678+1.4162i\\[1 em]x_3 &= -1.6678-1.4162i \end{aligned} $$Polynomial $ 2x^3+5x^2+4x-8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.