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question archive Show that the set of polynomials with integer coefficients is countable

Show that the set of polynomials with integer coefficients is countable

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Show that the set of polynomials with integer coefficients is countable. Such a polynomial is of the form

a(n) x^n + a(n-1) x^(n-1) + ...+ a(1) x + a(0), where the a's are integers.

 

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