The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1+i\\[1 em]x_2 &= -1-i\\[1 em]x_3 &= -1+1.4142i\\[1 em]x_4 &= -1-1.4142i \end{aligned} $$Polynomial $ x^4+4x^3+9x^2+10x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.