Find roots of polynomial $$ p(x) = -6x^4+x^3+13x^2-2x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5105\\[1 em]x_2 &= 1.5318\\[1 em]x_3 &= 0.0727+0.3725i\\[1 em]x_4 &= 0.0727-0.3725i \end{aligned} $$Explanation
Polynomial $ -6x^4+x^3+13x^2-2x+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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