The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0855\\[1 em]x_2 &= -0.27+0.7165i\\[1 em]x_3 &= -0.27-0.7165i \end{aligned} $$Polynomial $ 11x^3-6x^2-7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.