The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8723\\[1 em]x_2 &= 0.3513+0.8201i\\[1 em]x_3 &= 0.3513-0.8201i\\[1 em]x_4 &= 0.8349+1.7039i\\[1 em]x_5 &= 0.8349-1.7039i \end{aligned} $$Polynomial $ 2x^5-3x^4+7x^3+2x^2-x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.