The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.1875\\[1 em]x_2 &= 0.1116+0.9272i\\[1 em]x_3 &= 0.1116-0.9272i \end{aligned} $$Polynomial $ 28x^3+27x^2+17x+29 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.