Find roots of polynomial $$ p(x) = x^8-4x^6+2x^4+4x^2-6 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.7763\\[1 em]x_2 &= -1.7763\\[1 em]x_3 &= 1.0684+0.3761i\\[1 em]x_4 &= 1.0684-0.3761i\\[1 em]x_5 &= 1.0749i\\[1 em]x_6 &= -1.0749i\\[1 em]x_7 &= -1.0684+0.3761i\\[1 em]x_8 &= -1.0684-0.3761i \end{aligned} $$Explanation
Polynomial $ x^8-4x^6+2x^4+4x^2-6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
This page was created using
Polynomial Roots Calculator