The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3508\\[1 em]x_2 &= -1.3231\\[1 em]x_3 &= 0.9114\\[1 em]x_4 &= -0.3862+1.3494i\\[1 em]x_5 &= -0.3862-1.3494i \end{aligned} $$Polynomial $ 6x^5+5x^4+4x^3-3x^2-14x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.