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Home » Annual growth rate, \( r = 5\% = 0.05 \) - Silent Sales Machine

Annual growth rate, \( r = 5\% = 0.05 \) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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

📌 We use the **Remainder Theorem**:

📌 The remainder when a polynomial $ f(u) $ is divided by $ u - c $ is $ f(c) $.

📌 Here, divide $ f(u) = u^3 + 2 $ by $ u + 1 = u - (-1) $.

📌 So, compute $ f(-1) $:

📌 f(-1) = (-1)^3 + 2 = -1 + 2 = 1

📌 Question: Let $ a $ and $ b $ be complex numbers such that

📌 \frac{a}{b} + \frac{b}{a} = 3.

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