The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 3.2711\\[1 em]x_2 &= -1.6355+2.8328i\\[1 em]x_3 &= -1.6355-2.8328i \end{aligned} $$Polynomial $ x^3-35 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.