The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -3.9595\\[1 em]x_2 &= -0.0203+2.9731i\\[1 em]x_3 &= -0.0203-2.9731i \end{aligned} $$Polynomial $ x^3+4x^2+9x+35 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.