The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.1883\\[1 em]x_2 &= 3.5945\\[1 em]x_3 &= 5.5939 \end{aligned} $$Polynomial $ x^3-7x^2+44 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.