Find roots of polynomial $$ p(x) = 6x^7+x^6+4x^5+2x^4+7x^3+9x^2+x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.9564\\[1 em]x_2 &= 0.0898+0.6409i\\[1 em]x_3 &= 0.0898-0.6409i\\[1 em]x_4 &= -0.5152+0.9798i\\[1 em]x_5 &= -0.5152-0.9798i\\[1 em]x_6 &= 0.8202+0.828i\\[1 em]x_7 &= 0.8202-0.828i \end{aligned} $$Explanation
Polynomial $ 6x^7+x^6+4x^5+2x^4+7x^3+9x^2+x+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