The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 5.4933\\[1 em]x_2 &= -1.7466+1.7716i\\[1 em]x_3 &= -1.7466-1.7716i \end{aligned} $$Polynomial $ x^3-2x^2-13x-34 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.