The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8903\\[1 em]x_2 &= -0.1174+1.9435i\\[1 em]x_3 &= -0.1174-1.9435i \end{aligned} $$Polynomial $ 8x^3+9x^2+32x+27 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.