The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.2056\\[1 em]x_2 &= 2.1028+0.6655i\\[1 em]x_3 &= 2.1028-0.6655i \end{aligned} $$Polynomial $ 2x^3-8x^2+8x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.