Find roots of polynomial $$ p(x) = -6x^4-2x^3+4x^2+4x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4089\\[1 em]x_2 &= 0.8413\\[1 em]x_3 &= -0.7918+0.5849i\\[1 em]x_4 &= -0.7918-0.5849i \end{aligned} $$Explanation
Polynomial $ -6x^4-2x^3+4x^2+4x-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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