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"Madden 08: The Ultimate Football Coverage You WERE NOT Ready For! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \boxed{13}.

📌 Question: Let $ f(x) $ be a polynomial such that

📌 f(x^2 + 2) = x^4 + 4x^2 + 2.

📌 Find $ f(x^2 - 2) $.

📌 Solution: We are given that

📌 Let us denote $ y = x^2 + 2 $, so that $ x^2 = y - 2 $. Then

📌 x^4 = (x^2)^2 = (y - 2)^2 = y^2 - 4y + 4.

📌 Now substitute into the expression for $ f(y) $:

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