The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 4.8214\\[1 em]x_2 &= -2.9107+2.1436i\\[1 em]x_3 &= -2.9107-2.1436i \end{aligned} $$Polynomial $ -x^3-x^2+15x+63 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.