The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0533\\[1 em]x_2 &= 1.1933+1.3051i\\[1 em]x_3 &= 1.1933-1.3051i \end{aligned} $$Polynomial $ 6x^3-14x^2+18x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.