Find roots of polynomial $$ p(x) = 6x^7-2x^6+4x^5+2x^4+16x^3+9x^2+x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7138\\[1 em]x_2 &= 0.1207+0.4807i\\[1 em]x_3 &= 0.1207-0.4807i\\[1 em]x_4 &= -0.6107+0.9995i\\[1 em]x_5 &= -0.6107-0.9995i\\[1 em]x_6 &= 1.0136+1.0251i\\[1 em]x_7 &= 1.0136-1.0251i \end{aligned} $$Explanation
Polynomial $ 6x^7-2x^6+4x^5+2x^4+16x^3+9x^2+x+3 $ 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