Find roots of polynomial $$ p(x) = x^6-4x^5+3x^4-2x^3-4x^2+4x+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.2833\\[1 em]x_2 &= 3.3394\\[1 em]x_3 &= -0.7586+0.4037i\\[1 em]x_4 &= -0.7586-0.4037i\\[1 em]x_5 &= 0.4473+1.4184i\\[1 em]x_6 &= 0.4473-1.4184i \end{aligned} $$Explanation
Polynomial $ x^6-4x^5+3x^4-2x^3-4x^2+4x+7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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