Find roots of polynomial $$ p(x) = 5x^3+2x^2-4x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.2031\\[1 em]x_2 &= 0.4016+0.0706i\\[1 em]x_3 &= 0.4016-0.0706i \end{aligned} $$Explanation
Polynomial $ 5x^3+2x^2-4x+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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