Posted by **Megu** on Wednesday, September 19, 2012 at 7:54am.

Let f(x)= px^5 + qx^4 + rx^3 + sx^2 + tx + u be a polynomial such that f(1) = -1 and f(2) = 3 and all the numbers p, q, r, s, t and u are integers. prove that the equation

px^5 + qx^4 + rx^3 + sx^2 + tx + u = 0

has no integer roots.

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