The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -5.3375\\[1 em]x_2 &= 2.6688+2.5233i\\[1 em]x_3 &= 2.6688-2.5233i \end{aligned} $$Polynomial $ x^3-15x+72 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.