olymmath

Putnam 2001 A3

  • Session A

For each integer mm, consider the polynomial Pm(x)=x4−(2m+4)x2+(m−2)2.P_m(x)=x^4-(2m+4)x^2+(m-2)^2. For what values of mm is Pm(x)P_m(x) the product of two non-constant polynomials with integer coefficients?

Curated text Kedlaya Putnam archive. Quoted with source.

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