The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.2648\\[1 em]x_2 &= 3.6324+1.5031i\\[1 em]x_3 &= 3.6324-1.5031i \end{aligned} $$Polynomial $ x^3-5x^2-x+35 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.