The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.0213\\[1 em]x_2 &= 9.656+7.1456i\\[1 em]x_3 &= 9.656-7.1456i \end{aligned} $$Polynomial $ -6x^3+128x^2-1100x+1750 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.