olymmath

Putnam 2003 B1

  • Session B

Do there exist polynomials a(x),b(x),c(y),d(y)a(x), b(x), c(y), d(y) such that 1+xy+x2y2=a(x)c(y)+b(x)d(y)1 + x y + x^2 y^2 = a(x) c(y) + b(x) d(y) holds identically?

Curated text Kedlaya Putnam archive. Quoted with source.

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