The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1093\\[1 em]x_2 &= 1.9105\\[1 em]x_3 &= -3.0198 \end{aligned} $$Polynomial $ 5x^3-35x+32 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.