Questions tagged [palindromic-polynomials]

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A question about a self-reciprocal polynomial of even degree

In Wikipedia (https://en.wikipedia.org/wiki/Reciprocal_polynomial) it is stated, that: 10. If $p(x)$ is a palindromic polynomial of even degree $2d$, then there is a polynomial $q$ of degree $d$ such ...
3
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Palindromic combinations of Chebyshev Polynomials share common roots?

Suppose that the real polynomial below $$p(x)=\sum_{k=0}^{2n}\alpha_{k}x^k$$ is a palindromic polynomial of even degree; that is, $p_{2n-k}=p_k$ for $0\leq k\leq 2n$ and $\alpha_0\neq 0$. Is it ...