MathDB

2

Part of 2022 Indonesia MO

Problems(1)

Standard Polynomial NT

Source: Indonesia National Math Olympiad 2022 Problem 2 (INAMO 2022/2)

10/4/2022
Let P(x)P(x) be a polynomial with integer coefficient such that P(1)=10P(1) = 10 and P(āˆ’1)=22P(-1) = 22. (a) Give an example of P(x)P(x) such that P(x)=0P(x) = 0 has an integer root. (b) Suppose that P(0)=4P(0) = 4, prove that P(x)=0P(x) = 0 does not have an integer root.
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