The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.1054\\[1 em]x_2 &= 0.6234+0.994i\\[1 em]x_3 &= 0.6234-0.994i \end{aligned} $$Polynomial $ 9488x^3-1341x^2-14x+14439 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.