The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.9174\\[1 em]x_2 &= -0.3747+1.0833i\\[1 em]x_3 &= -0.3747-1.0833i \end{aligned} $$Polynomial $ -6x^3-22x^2-21x-23 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.