Irreducible palindromic polynomials of even degrees


Assignment:

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

Explain what does palindromic polynomials means? Give me examples palindromic polynomials with even and odd degree.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Irreducible palindromic polynomials of even degrees
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