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Calculus and Beyond Homework Help
Find all irreducible polynomials over F of degree at most 2
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[QUOTE="kduna, post: 5390273, member: 501547"] The easiest way would be to just write down all of the quadratics over this field and check whether or not each one has a root. If your question is only about monic polynomials, then there are only 16 such polynomials. It is possible to write down a formula that counts the number of monic irreducible polynomials of a particular degree over a given finite field, and this could be used to tell you whether you had them all. However, I think that the above method would be easier in this case. [/QUOTE]
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Calculus and Beyond Homework Help
Find all irreducible polynomials over F of degree at most 2
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