The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3222\\[1 em]x_2 &= 0.8389+1.7544i\\[1 em]x_3 &= 0.8389-1.7544i \end{aligned} $$Polynomial $ x^3-3x^2+6x-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.