Find roots of polynomial $$ p(x) = 4x^4+27x^3+62x^2+57x+19 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -2.1806\\[1 em]x_2 &= -2.937\\[1 em]x_3 &= -0.8162+0.2748i\\[1 em]x_4 &= -0.8162-0.2748i \end{aligned} $$Explanation
Polynomial $ 4x^4+27x^3+62x^2+57x+19 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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