The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5832\\[1 em]x_2 &= 0.0416+0.7937i\\[1 em]x_3 &= 0.0416-0.7937i \end{aligned} $$Polynomial $ 2x^3+3x^2+x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.