The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1241\\[1 em]x_2 &= -0.062+1.4183i\\[1 em]x_3 &= -0.062-1.4183i \end{aligned} $$Polynomial $ 4x^3+8x-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.