Find roots of polynomial $$ p(x) = x^7-43x^6+2x^5-x^4-14x^3-6x^2+24x+40 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8913\\[1 em]x_2 &= 1.0106\\[1 em]x_3 &= 42.9542\\[1 em]x_4 &= 0.5142+0.9873i\\[1 em]x_5 &= 0.5142-0.9873i\\[1 em]x_6 &= -0.5509+0.7286i\\[1 em]x_7 &= -0.5509-0.7286i \end{aligned} $$Explanation
Polynomial $ x^7-43x^6+2x^5-x^4-14x^3-6x^2+24x+40 $ 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