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Home » But final answer must be integer — contradiction - jntua results

But final answer must be integer — contradiction - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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5Question: Let $ f(x) $ be a polynomial such that $ f(x^2 + 2) = x^4 +...
Solution: Let us define $ f(u) $ such that $ f(x^2 + 2) = x^4 + 4x^2 +...
x^4 + 4x^2 + 4 = (x^2 + 2)^2
Thus, $ f(x^2 + 2) = (x^2 + 2)^2 $, which implies that $ f(u) = u^2 $.
Now, substitute $ u = x^2 - 2 $ into $ f(u) $:

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