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Irreducible Palindromic Polynomials of Even Degrees

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Show that if a palindromic polynomial of degree n is irreducible over F, then n must be even.

Hint Experiment with palindromic polynomials of odd degree

Please, can you explain what does palindromic polynomials means? Give me examples palindromic polynomials with even and odd degree.

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Irreducible Palindromic Polynomials of Even Degrees 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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