The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8997\\[1 em]x_2 &= -1.3727\\[1 em]x_3 &= 3.994\\[1 em]x_4 &= -4.0544 \end{aligned} $$Polynomial $ 15x^4+8x^3-261x^2-116x+300 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.