72

Part of 1979 IMO Longlists

Problems(1)

Polynomial - f(x)=1979 four times - prove f(x) not= 2*1979

Source: ILL 1979 - Problem 72.

f (x)

be a polynomial with integer coefficients. Prove that if

f (x)= 1979

for four different integer values of

x

f (x)

cannot be equal to

2\times 1979

for any integral value of

x

algebrapolynomialcalculusintegrationalgebra unsolved