MathDB

1

Part of 1995 Poland - Second Round

Problems(1)

P(5) is divisible by 2,P(2) is divisible by 5 then P(7) is divisible by 10

Source: Polish second round 1995 p1

1/19/2020
For a polynomial PP with integer coefficients, P(5)P(5) is divisible by 22 and P(2)P(2) is divisible by 55. Prove that P(7)P(7) is divisible by 1010.
Integer Polynomialpolynomialdivisiblealgebra