The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.5747\\[1 em]x_2 &= -1.2874+1.35i\\[1 em]x_3 &= -1.2874-1.35i \end{aligned} $$Polynomial $ x^3+2x^2+2x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.