The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.6717\\[1 em]x_2 &= 0.8359+1.0469i\\[1 em]x_3 &= 0.8359-1.0469i \end{aligned} $$Polynomial $ x^3-x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.