The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -4.2207\\[1 em]x_2 &= -0.3897+0.7476i\\[1 em]x_3 &= -0.3897-0.7476i \end{aligned} $$Polynomial $ x^3+5x^2+4x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.