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Irreducible Polynomials

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Prove that X^2-Y^2-1 is irreducible in Q[X,Y].

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Irreducible polynomials are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Proof:
Since X^2-Y^2-1 has degree 2, if it is reducible in Q[X,Y], then its factor can only have degree 1. If a polynomial in Q[X,Y] has degree 1, it can only has ...

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