The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 6.0479\\[1 em]x_2 &= -0.0239+0.5374i\\[1 em]x_3 &= -0.0239-0.5374i \end{aligned} $$Polynomial $ 4x^3-24x^2-7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.