Find roots of polynomial $$ p(x) = x^4-x^2+x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1208+0.9896i\\[1 em]x_2 &= 1.1208-0.9896i\\[1 em]x_3 &= -1.1208+0.7302i\\[1 em]x_4 &= -1.1208-0.7302i \end{aligned} $$Explanation
Polynomial $ x^4-x^2+x+4 $ 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