Find a nonzero polynomial f(w, x, y, z) in the four indeterminates w, x, y, and z of minimum degree such that switching any two indeterminates in the polynomial gives the same polynomial except that its sign is reversed. For example, f(z, x, y,w) = -f(w, x, y, z). Prove that the degree of the polynomial is as small as possible.(adsbygoogle = window.adsbygoogle || []).push({});

No clue how to approach/sove.

Any advice/tips or solutions would be great!

thanks

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# Math Problem Inquiry Involving nonzero polynomials

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