The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.426\\[1 em]x_2 &= 3.213+1.1892i\\[1 em]x_3 &= 3.213-1.1892i \end{aligned} $$Polynomial $ x^3-6x^2+9x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.