Find roots of polynomial $$ p(x) = 15x^{11}-6x^8+x^3-4x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8801\\[1 em]x_2 &= 0.604+0.4988i\\[1 em]x_3 &= 0.604-0.4988i\\[1 em]x_4 &= -0.7465+0.5543i\\[1 em]x_5 &= -0.7465-0.5543i\\[1 em]x_6 &= -0.3736+0.8954i\\[1 em]x_7 &= -0.3736-0.8954i\\[1 em]x_8 &= 0.1822+0.8435i\\[1 em]x_9 &= 0.1822-0.8435i\\[1 em]x_{10} &= 0.7741+0.1099i\\[1 em]x_{11} &= 0.7741-0.1099i \end{aligned} $$Explanation
Polynomial $ 15x^{11}-6x^8+x^3-4x+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