The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2928\\[1 em]x_2 &= -1.2767\\[1 em]x_3 &= 0.492+1.5599i\\[1 em]x_4 &= 0.492-1.5599i \end{aligned} $$Polynomial $ -3x^4-4x^2-9x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.