let be the function f(x) so we have that if x is a root also x* is a root, but we have that x is NEVER a pure imaginari number,i mean x is always different from x=ia the my question is if this means that all the roots will be real,the only counterexample i find is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x)=(x-x_{0})(x-x_{1})(x-x_{2})........[/tex]

that is an infinite polynomial that has all its roots in the form a is a root and also a*.

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# Roots of f(x)

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