The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0695\\[1 em]x_2 &= 1.3123\\[1 em]x_3 &= -2.7428 \end{aligned} $$Polynomial $ -4x^3-6x^2+14x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.