Let Prove that the polynomials and are relatively prime for all positive integers and with

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#
abstract algebra

# Putnam 2014 A5

# Romania 2013 p4 grade 12

Let Prove that the polynomials and are relatively prime for all positive integers and with

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Given a natural number, a body with commutative property that a polynomial of degree and a subgroup of the additive group , Show that there is so .