Find roots of polynomial $$ p(x) = 2x^8+7x^7+7x^6+5x^5+3x^4+2x^3+3x^2-5x-7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.8285\\[1 em]x_2 &= -2.356\\[1 em]x_3 &= -1.0524+0.1983i\\[1 em]x_4 &= -1.0524-0.1983i\\[1 em]x_5 &= -0.4573+1.1133i\\[1 em]x_6 &= -0.4573-1.1133i\\[1 em]x_7 &= 0.5235+0.8975i\\[1 em]x_8 &= 0.5235-0.8975i \end{aligned} $$Explanation
Polynomial $ 2x^8+7x^7+7x^6+5x^5+3x^4+2x^3+3x^2-5x-7 $ 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