The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 12.5683\\[1 em]x_2 &= -6.2841+11.0214i\\[1 em]x_3 &= -6.2841-11.0214i \end{aligned} $$Polynomial $ x^3+3x-2023 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.