The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.815\\[1 em]x_2 &= 0.2825+0.4424i\\[1 em]x_3 &= 0.2825-0.4424i \end{aligned} $$Polynomial $ 4x^3+5x^2-3x+2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.