The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 3.6678\\[1 em]x_2 &= -1.8339+1.4456i\\[1 em]x_3 &= -1.8339-1.4456i \end{aligned} $$Polynomial $ -x^3+8x+20 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.