The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.3491\\[1 em]x_2 &= 2.1746+2.3426i\\[1 em]x_3 &= 2.1746-2.3426i \end{aligned} $$Polynomial $ x^3-2x^2+24 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.