olymmath

Putnam 1972 B4

  • Session B

Show that for n>1n > 1 we can find a polynomial P(a,b,c)P(a, b, c) with integer coefficients such that P(xn,xn+1,x+xn+2)=x.P(x^{n},x^{n+1},x+x^{n+2})=x.

Dataset text AI-MO AoPS. Quoted with source.

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