Find roots of polynomial $$ p(x) = -x^4+x^2+x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.3681\\[1 em]x_2 &= 1.6471\\[1 em]x_3 &= -0.1395+1.1454i\\[1 em]x_4 &= -0.1395-1.1454i \end{aligned} $$Explanation
Polynomial $ -x^4+x^2+x+3 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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