The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1582\\[1 em]x_2 &= -5.8582\\[1 em]x_3 &= 0.35+2.6367i\\[1 em]x_4 &= 0.35-2.6367i \end{aligned} $$Polynomial $ x^4+4x^3-3x^2+38x-48 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.