Find roots of polynomial $$ p(x) = -3x^8+5x^2+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1751\\[1 em]x_2 &= -1.1751\\[1 em]x_3 &= 0.6493+0.8799i\\[1 em]x_4 &= 0.6493-0.8799i\\[1 em]x_5 &= 0.8217i\\[1 em]x_6 &= -0.8217i\\[1 em]x_7 &= -0.6493+0.8799i\\[1 em]x_8 &= -0.6493-0.8799i \end{aligned} $$Explanation
Polynomial $ -3x^8+5x^2+4 $ 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