Find roots of polynomial $$ p(x) = 9x^4-3x^3+37x^2-20x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2726+0.1834i\\[1 em]x_2 &= 0.2726-0.1834i\\[1 em]x_3 &= -0.1059+2.0267i\\[1 em]x_4 &= -0.1059-2.0267i \end{aligned} $$Explanation
Polynomial $ 9x^4-3x^3+37x^2-20x+4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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