Find roots of polynomial $$ p(x) = -3x^{10}-5x^9+15x^7-x^6+9x^5-8x^4+3x^2+8x+14 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.8036\\[1 em]x_2 &= 1.4198\\[1 em]x_3 &= 0.879+0.5484i\\[1 em]x_4 &= 0.879-0.5484i\\[1 em]x_5 &= -0.4783+0.8268i\\[1 em]x_6 &= -0.4783-0.8268i\\[1 em]x_7 &= 0.0741+0.9944i\\[1 em]x_8 &= 0.0741-0.9944i\\[1 em]x_9 &= -1.6161+1.2599i\\[1 em]x_{10} &= -1.6161-1.2599i \end{aligned} $$Explanation
Polynomial $ -3x^{10}-5x^9+15x^7-x^6+9x^5-8x^4+3x^2+8x+14 $ 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