Let be a polynomial with integral coefficients and . Then . It make since that if a, b are in the domain, then the co-domain will also be congruent of the same integers but how do I go about doing this?
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Originally Posted by dwsmith Let be a polynomial with integral coefficients and . Then . It make since that if a, b are in the domain, then the co-domain will also be congruent of the same integers but how do I go about doing this? This is because given and then . Since a polynomial is a composition of those three operations, we're done.
I don't actually have to show anything to do with the polynomials? It is ok to say since Originally Posted by chiph588@ This is because given and then . Since a polynomial is a composition of those three operations, we're done.
Originally Posted by dwsmith I don't actually have to show anything to do with the polynomials? It is ok to say since I think it's enough work, but some might not. I'll walk you through an example: (1) from (1) and finally . If you wanted to get formal with this I suppose inducting on would do the trick.
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