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MathNet 2010 — Part 06 Question 53

Math Olympiad Vault · MathNet 2010 — Part 06

Question 53

Let them be $p$ and $q$ Level 3 polynomials with integer coefficients whose leading coefficients are foreign. Let it be $a$ such a rational number that they are $p(a)$ and $q(a)$ Whole numbers. Prove that then it is also $a$ a whole number.