Determine all polynomials such that and These problems were composed by the Committee on

Chapter 1, Problem 122

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Determine all polynomials P(x) such that \(P\left(x^{2}+1\right)=(P(x))^{2}+1\) and P(0) = 0.

Text Transcription:

P(x^2 + 1) = (P(x))^2 + 1

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