The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.4335\\[1 em]x_2 &= -3.2698\\[1 em]x_3 &= 4.7033 \end{aligned} $$Polynomial $ -3x^3+3x^2+48x+20 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.