The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.867\\[1 em]x_2 &= -7.6789\\[1 em]x_3 &= -0.3441+0.8477i\\[1 em]x_4 &= -0.3441-0.8477i \end{aligned} $$Polynomial $ 2x^4+13x^3-19x^2-10x-24 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.