(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(see attachment)

2. Relevant equations

3. The attempt at a solution

I have been attempting a proof by contradiction (for the last statement) for a while now, but I can't seem to reach a contradiction from these premises:

1 ≤ deg(f) ≤ deg(g) (without loss)

N ≠ F[x]

both f and g are irreducible over F

I also know that since F is a field, N is principal (by a lemma)

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# Homework Help: Polynomials and Ideals

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