The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.2905+0.6966i\\[1 em]x_2 &= 1.2905-0.6966i\\[1 em]x_3 &= -0.7905+0.5523i\\[1 em]x_4 &= -0.7905-0.5523i \end{aligned} $$Polynomial $ x^4-x^3-x^2+x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.