The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 3.2011\\[1 em]x_2 &= -1.6006+2.487i\\[1 em]x_3 &= -1.6006-2.487i \end{aligned} $$Polynomial $ -4x^3+6x+112 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.