Find roots of polynomial $$ p(x) = 3x^6-7x^4+2x^3+8x^2-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.3564\\[1 em]x_2 &= -0.4039\\[1 em]x_3 &= -1.1341+0.2529i\\[1 em]x_4 &= -1.1341-0.2529i\\[1 em]x_5 &= 1.1578+0.612i\\[1 em]x_6 &= 1.1578-0.612i \end{aligned} $$Explanation
Polynomial $ 3x^6-7x^4+2x^3+8x^2-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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