On the blackboard the mathematics professor wrote a polynomial f(x) with integer coefficients and said, "Today is my son's birthday. When his age A is substituted for x, then f(A) = A. You will note also that f(0) = P and that P is a prime number larger than A. How old is the professor's son?

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## BMAD

On the blackboard the mathematics professor wrote a polynomial f(x) with integer coefficients and said, "Today is my son's birthday. When his age A is substituted for x, then f(A) = A. You will note also that f(0) = P and that P is a prime number larger than A. How old is the professor's son?

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