Find roots of polynomial $$ p(x) = -x^4+3x^3-5x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.474\\[1 em]x_2 &= -0.8181\\[1 em]x_3 &= 2.146+0.7432i\\[1 em]x_4 &= 2.146-0.7432i \end{aligned} $$Explanation
Polynomial $ -x^4+3x^3-5x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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