The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.5979\\[1 em]x_2 &= 1.049+0.3925i\\[1 em]x_3 &= 1.049-0.3925i \end{aligned} $$Polynomial $ 4x^3-6x^2+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.