Find roots of polynomial $$ p(x) = 42x^6-12x^5+20x^4+8x^3-3000000x^2+18x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0006\\[1 em]x_2 &= 0.0006\\[1 em]x_3 &= -16.2701\\[1 em]x_4 &= 16.4125\\[1 em]x_5 &= 0.0717+16.3549i\\[1 em]x_6 &= 0.0717-16.3549i \end{aligned} $$Explanation
Polynomial $ 42x^6-12x^5+20x^4+8x^3-3000000x^2+18x+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