MathDB
Putnam 1969 A1

Source: Putnam 1969

March 31, 2022
Putnamalgebrapolynomial

Problem Statement

Let f(x,y)f(x,y) be a polynomial with real coefficients in the real variables xx and yy defined over the entire xyxy-plane. What are the possibilities for the range of f(x,y)?f(x,y)?