The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0066\\[1 em]x_2 &= -2.0079\\[1 em]x_3 &= -4.9978\\[1 em]x_4 &= 4.9991 \end{aligned} $$Polynomial $ 3x^4+6x^3-75x^2-150x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.