Find roots of polynomial $$ p(x) = -3404x^4+6768x^3+47360x^2+338560x-33856 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0986\\[1 em]x_2 &= 6.4738\\[1 em]x_3 &= -2.2921+3.2132i\\[1 em]x_4 &= -2.2921-3.2132i \end{aligned} $$Explanation
Polynomial $ -3404x^4+6768x^3+47360x^2+338560x-33856 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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