The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 5.6116\\[1 em]x_2 &= -1.8058+2.4507i\\[1 em]x_3 &= -1.8058-2.4507i \end{aligned} $$Polynomial $ x^3-2x^2-11x-52 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.