Find roots of polynomial $$ p(x) = x^7+x^6+x^5+x^4+x^3+x^2+x-801 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.4079\\[1 em]x_2 &= 1.4657+2.067i\\[1 em]x_3 &= 1.4657-2.067i\\[1 em]x_4 &= -2.4619+1.1361i\\[1 em]x_5 &= -2.4619-1.1361i\\[1 em]x_6 &= -0.7078+2.5586i\\[1 em]x_7 &= -0.7078-2.5586i \end{aligned} $$Explanation
Polynomial $ x^7+x^6+x^5+x^4+x^3+x^2+x-801 $ 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