Find roots of polynomial $$ p(x) = 36x^4+105x^3+103x^2-39x+5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1565+0.1083i\\[1 em]x_2 &= 0.1565-0.1083i\\[1 em]x_3 &= -1.6148+1.1081i\\[1 em]x_4 &= -1.6148-1.1081i \end{aligned} $$Explanation
Polynomial $ 36x^4+105x^3+103x^2-39x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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