The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -5.6347\\[1 em]x_2 &= -0.6826+1.3569i\\[1 em]x_3 &= -0.6826-1.3569i \end{aligned} $$Polynomial $ x^3+7x^2+10x+13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.