The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.7355\\[1 em]x_2 &= 3.5264\\[1 em]x_3 &= 6.2091 \end{aligned} $$Polynomial $ x^3-8x^2+5x+38 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.