1. The problem statement, all variables and given/known data Let f(x) = ax^2 + bx + c be a quadratic polynomial. Either prove or disprove the following statement: If f(0) and f(1) are even integers then f(n) is an integer for every natural number n. 2. Relevant equations 3. The attempt at a solution I tried different approaches such as analyzing the constants, f(n)-f(0)-f(1). How do you approach these problems in general?