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Polynomial # 1 (Posted on 2006-05-26) Difficulty: 3 of 5
Let f(x) be a nonconstant polynomial in x with integer coefficients and suppose that for five distinct integers a1, a2, a3, a4, a5, one has f(a1)= f(a2)= f(a3)= f(a4)= f(a5)= 2.

Find all integers b such that f(b)= 9.

No Solution Yet Submitted by Ravi Raja    
Rating: 5.0000 (1 votes)

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Question An extra question | Comment 1 of 7
Should f(b)=9 be impossible (and I'm not telling!), what would be the least square that f(b) can equal?
  Posted by Federico Kereki on 2006-05-26 10:02:38
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