The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2495+0.5598i\\[1 em]x_2 &= 0.2495-0.5598i\\[1 em]x_3 &= -0.6137+0.9791i\\[1 em]x_4 &= -0.6137-0.9791i\\[1 em]x_5 &= -0.6358+2.7516i\\[1 em]x_6 &= -0.6358-2.7516i \end{aligned} $$Polynomial $ x^6+2x^5+10x^4+7x^3+9x^2-x+4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.