The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 5.2527\\[1 em]x_2 &= 1.3737+1.6377i\\[1 em]x_3 &= 1.3737-1.6377i \end{aligned} $$Polynomial $ x^3-8x^2+19x-24 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.