Find roots of polynomial $$ p(x) = 42x^6-12x^5+20x^4+8x^3+36x^2+18x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0635\\[1 em]x_2 &= -0.4086\\[1 em]x_3 &= -0.3842+0.7684i\\[1 em]x_4 &= -0.3842-0.7684i\\[1 em]x_5 &= 0.7631+0.8127i\\[1 em]x_6 &= 0.7631-0.8127i \end{aligned} $$Explanation
Polynomial $ 42x^6-12x^5+20x^4+8x^3+36x^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