Find roots of polynomial $$ p(x) = 3x^5-2x^4+7x^3-4x^2+6x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.9594\\[1 em]x_2 &= -0.5739+1.0699i\\[1 em]x_3 &= -0.5739-1.0699i\\[1 em]x_4 &= 0.4275+1.3924i\\[1 em]x_5 &= 0.4275-1.3924i \end{aligned} $$Explanation
Polynomial $ 3x^5-2x^4+7x^3-4x^2+6x-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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