The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 8.7123\\[1 em]x_2 &= -0.8562+0.4304i\\[1 em]x_3 &= -0.8562-0.4304i \end{aligned} $$Polynomial $ -x^3+7x^2+14x+8 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.