MathDB

78

Part of 1989 IMO Longlists

Problems(1)

P(m_1) = P(m_2) = P(m_3) = P(m_4) = 7

Source: IMO Longlist 1989, Problem 78

9/18/2008
Let P(x) P(x) be a polynomial with integer coefficients such that P(m_1) \equal{} P(m_2) \equal{} P(m_3) \equal{} P(m_4) \equal{} 7 for given distinct integers m1,m2,m3, m_1,m_2,m_3, and m4. m_4. Show that there is no integer m such that P(m) \equal{} 14.
algebrapolynomialalgebra unsolved