Find roots of polynomial $$ p(x) = x^6+2x^5+x^4+7x^3+10x^2-x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.1442+0.5735i\\[1 em]x_2 &= 0.1442-0.5735i\\[1 em]x_3 &= -1.8739+0.3239i\\[1 em]x_4 &= -1.8739-0.3239i\\[1 em]x_5 &= 0.7296+1.622i\\[1 em]x_6 &= 0.7296-1.622i \end{aligned} $$Explanation
Polynomial $ x^6+2x^5+x^4+7x^3+10x^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