Find roots of polynomial $$ p(x) = 5x^4-26x^3-11x^2-10x+6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3543\\[1 em]x_2 &= 5.6458\\[1 em]x_3 &= -0.4+0.6633i\\[1 em]x_4 &= -0.4-0.6633i \end{aligned} $$Explanation
Polynomial $ 5x^4-26x^3-11x^2-10x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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