Find roots of polynomial $$ p(x) = 5x^4-16x^3-180x^2+452x+539 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9019\\[1 em]x_2 &= -5.5641\\[1 em]x_3 &= 3.4635\\[1 em]x_4 &= 6.2025 \end{aligned} $$Explanation
Polynomial $ 5x^4-16x^3-180x^2+452x+539 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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