is polynomial with complex coefficients. , is integer, prove: coefficients of are rational numbers, and give some examples about rational case.

### Prove:

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* consider coefficients are integers, of course are integers.

* consider coefficients are rationals, we have , two consecutive integer can be divided by , there must be one even number.

How about the cases?:

* real coeffs

* complex coeffs

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And can you give me some more examples?