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Given a positive integer N, prove there is an irreducible polynomial in Zp[x] of degree greater than N. Conclude Zp[x] contains irreducible polynomials of arbitrarily large degree?
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Given a positive integer N, prove there is an irreducible polynomial in Zp[x] of degree greater than N. Conclude Zp[x] contains irreducible polynomials of arbitrarily large degree?

User Matt Mullens
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Answer:

Please refer to the attachment below.

Explanation:

Please refer to the attachment below.

Given a positive integer N, prove there is an irreducible polynomial in Zp[x] of degree-example-1
User Aguilarpgc
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