Find roots of polynomial $$ p(x) = 8x^4+2x^3-2x^2+4x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.2243\\[1 em]x_2 &= -0.9357\\[1 em]x_3 &= 0.455+0.6234i\\[1 em]x_4 &= 0.455-0.6234i \end{aligned} $$Explanation
Polynomial $ 8x^4+2x^3-2x^2+4x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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