The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.659\\[1 em]x_2 &= -0.3295+0.8023i\\[1 em]x_3 &= -0.3295-0.8023i \end{aligned} $$Polynomial $ -x^3+2x^2+x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.