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Math Help - Need Help!!!

  1. #1
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    Nov 2007
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    Question Need Help!!!

    I have a problem that I can't solve.You can help me!
    On the blackboard,the mathematics professor wrote a poly monial f(x) with interger coefficient and said,"Today is my son's birthday.When his age A is substitute for x,f(A)=A.You will note also that f(0)=P and that P is a prime number geater than A".How old is the professor's son?
    Thaks for advance for your solution!
    Thank you so much!!!
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  2. #2
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    May 2006
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    Quote Originally Posted by sodymong View Post
    I have a problem that I can't solve.You can help me!
    On the blackboard,the mathematics professor wrote a poly monial f(x) with interger coefficient and said,"Today is my son's birthday.When his age A is substitute for x,f(A)=A.You will note also that f(0)=P and that P is a prime number geater than A".How old is the professor's son?
    Thaks for advance for your solution!
    Thank you so much!!!
    Well if the answer is unique it is 1. That A=1 is a possible
    solution we need only observe that the polynomial could have been:

    f(x)=x^2-Px+P

    The uniquness of the solution can be demonstrated with the aid of the
    rational root theorem.

    ZB
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