Find roots of polynomial $$ p(x) = 3z^4-2z^3+8z^2-2z+5 $$
Answer
The roots of polynomial $ p(z) $ are:
$$ \begin{aligned}z_1 &= i\\[1 em]z_2 &= -i\\[1 em]z_3 &= 0.3333+1.2472i\\[1 em]z_4 &= 0.3333-1.2472i \end{aligned} $$Explanation
Polynomial $ 3z^4-2z^3+8z^2-2z+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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