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Let [tex]f, g \in \mathbb{Z}[x, y, z][/tex] be given as follows: [tex]f = x^8 + y^8 + z^6[/tex] and [tex]g = x^3 +y^3 + z^3[/tex]. Express if possible [tex]f[/tex] and [tex]g[/tex] as a polynomial in elementary symmetric polynomials in [tex]x, y, z[/tex].
Professor claims there is an algorithm we were supposed to know for this question on the midterm. I missed it. Any ideas?
Professor claims there is an algorithm we were supposed to know for this question on the midterm. I missed it. Any ideas?