Find roots of polynomial $$ p(x) = z^3+2z^2+4z+1 $$
Answer
The roots of polynomial $ p(z) $ are:
$$ \begin{aligned}z_1 &= -0.2848\\[1 em]z_2 &= -0.8576+1.6662i\\[1 em]z_3 &= -0.8576-1.6662i \end{aligned} $$Explanation
Polynomial $ z^3+2z^2+4z+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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