# Answer to Question #17717 in Abstract Algebra for Sone

Question #17717

Give an example of a polynomial of degree 100 over the rationals that is irreducible over the rationals

Expert's answer

x^100+1

This polynom has no rationalsolutions (only the complex ones) so it's irreducible over the rationals.

This polynom has no rationalsolutions (only the complex ones) so it's irreducible over the rationals.

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