The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9951\\[1 em]x_2 &= -7.0049\\[1 em]x_3 &= -4+1.5371i\\[1 em]x_4 &= -4-1.5371i \end{aligned} $$Polynomial $ 3x^4+48x^3+268x^2+608x+384 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.