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In venue of my old question When polynomial f(x^2) can be factored as g(x)·g(-x)? and this recent answer to a different question, I wonder: How to characterize polynomials $f(x)$ with rational ...

In relation to my question Expression for the sum of square roots of zeros of a polynomial How to characterize polynomials $f(x)$ with rational coefficients such that $f(x^2)=g(x)\cdot g(-x)$ where $...