The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.7272\\[1 em]x_2 &= 0.2614+0.4671i\\[1 em]x_3 &= 0.2614-0.4671i \end{aligned} $$Polynomial $ 24x^3-30x^2+16x-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.