Find roots of polynomial $$ p(x) = 30x^5-20x^4+12x^3-6x^2+2x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.5557\\[1 em]x_2 &= 0.2253+0.4628i\\[1 em]x_3 &= 0.2253-0.4628i\\[1 em]x_4 &= -0.1698+0.4445i\\[1 em]x_5 &= -0.1698-0.4445i \end{aligned} $$Explanation
Polynomial $ 30x^5-20x^4+12x^3-6x^2+2x-1 $ 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