a, b are integers, m is a natural number. a ≡ b (mod m) is given

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answerhappygod
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a, b are integers, m is a natural number. a ≡ b (mod m) is given

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a, b are integers, m is a natural number. a ≡ b (mod m) isgiven
A B Are Integers M Is A Natural Number A B Mod M Is Given 1
A B Are Integers M Is A Natural Number A B Mod M Is Given 1 (15.91 KiB) Viewed 59 times
Prove that p(a) =≤ p(b) (mod m), for all p(x) = Z[x], where Z[x] is the set (in fact, ring) of all polynomials in the variable x with coefficients in Z.
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