The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.5212\\[1 em]x_2 &= 1.6144+1.308i\\[1 em]x_3 &= 1.6144-1.308i \end{aligned} $$Polynomial $ 4x^3-15x^2+24x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.