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P(x^2-1)=x^4-3x^2+3, P(x^2+1) = ? (HOMC 2008 J Q6)

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July 25, 2019
polynomialalgebra

Problem Statement

Let P(x)P(x) be a polynomial such that P(x2−1)=x4−3x2+3P(x^2 - 1) = x^4 - 3x^2 + 3. Find P(x2+1)P(x^2 + 1).
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