MathDB

241

Part of 1953 Moscow Mathematical Olympiad

Problems(1)

MMO 241 Moscow MO 1953 polynomial x^{200}y^{200}+1 cannot be f(x) g(y)

Source:

8/9/2019
Prove that the polynomial x200y200+1x^{200} y^{200} +1 cannot be represented in the form f(x)g(y)f(x)g(y), where ff and gg are polynomials of only xx and yy, respectively.
algebrapolynomialfactor