The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.332\\[1 em]x_2 &= 3.666+1.5253i\\[1 em]x_3 &= 3.666-1.5253i \end{aligned} $$Polynomial $ x^3-6x^2+6x+21 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.