Find roots of polynomial $$ p(x) = 6x^5+5x^4+4x^3+3x^2+14x+5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.3762\\[1 em]x_2 &= -0.9117+0.8816i\\[1 em]x_3 &= -0.9117-0.8816i\\[1 em]x_4 &= 0.6831+0.9543i\\[1 em]x_5 &= 0.6831-0.9543i \end{aligned} $$Explanation
Polynomial $ 6x^5+5x^4+4x^3+3x^2+14x+5 $ 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