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 integer value for b is possible in conformity with the provisions inclusive of the given problem.

Posted by K Sengupta on 2008-02-06 06:08:43