Find roots of polynomial $$ p(x) = 6x^4+11x^3-2x^2+x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6989\\[1 em]x_2 &= -1.9582\\[1 em]x_3 &= 0.4119+0.5634i\\[1 em]x_4 &= 0.4119-0.5634i \end{aligned} $$Explanation
Polynomial $ 6x^4+11x^3-2x^2+x+4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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