Find roots of polynomial $$ p(x) = 7x^6+3x^3+12 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.916+0.5981i\\[1 em]x_2 &= 0.916-0.5981i\\[1 em]x_3 &= -0.976+0.4943i\\[1 em]x_4 &= -0.976-0.4943i\\[1 em]x_5 &= 0.0599+1.0924i\\[1 em]x_6 &= 0.0599-1.0924i \end{aligned} $$Explanation
Polynomial $ 7x^6+3x^3+12 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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