Find roots of polynomial $$ p(x) = 6x^5+10x^4+4x^3+21x^2+200x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.005\\[1 em]x_2 &= -2.1295+1.4928i\\[1 em]x_3 &= -2.1295-1.4928i\\[1 em]x_4 &= 1.2937+1.8049i\\[1 em]x_5 &= 1.2937-1.8049i \end{aligned} $$Explanation
Polynomial $ 6x^5+10x^4+4x^3+21x^2+200x-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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