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Home » A_{\textoctagon} = 2(1 + \sqrt2)s^2 = 2(1 + \sqrt2)x^2 - Blask

A_{\textoctagon} = 2(1 + \sqrt2)s^2 = 2(1 + \sqrt2)x^2 - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 x^4 + 2x^2 + 2 = (u^2 - 2u + 1) + 2(u - 1) + 2

📌 u^2 - 2u + 1 + 2u - 2 + 2 = u^2 + 1

📌 Now, substitute $ x^2 - 1 $ into $ g $:

📌 g(x^2 - 1) = (x^2 - 1)^2 + 1 = x^4 - 2x^2 + 1 + 1 = x^4 - 2x^2 + 2

📌 Thus, the answer is:

📌 \boxed{x^4 - 2x^2 + 2}

📌 Question: Find the remainder when $ u^3 + 2 $ is divided by $ u + 1 $.

📌 We use the **Remainder Theorem**:

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