Influence of small constant term on roots of polynomial – math.stackexchange.com

Influence of small constant term on roots of polynomial – math.stackexchange.com

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Let $p(x)=a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0,\enspace a_i\in\mathbb{C}$ some polynomial. Suppose that $|a_0|$ is very small (compared to the other coefficients' magnitude). Is there any ...

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