Find roots of polynomial $$ p(x) = -4x^3+5x^2-2x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.4021\\[1 em]x_2 &= -0.076+0.8411i\\[1 em]x_3 &= -0.076-0.8411i \end{aligned} $$Explanation
Polynomial $ -4x^3+5x^2-2x+4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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