Find roots of polynomial $$ p(x) = x^4+x^3-x^2+x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.7748\\[1 em]x_2 &= -1.9276\\[1 em]x_3 &= 0.0764+0.8147i\\[1 em]x_4 &= 0.0764-0.8147i \end{aligned} $$Explanation
Polynomial $ x^4+x^3-x^2+x-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
This page was created using
Polynomial Roots Calculator