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Home » Marcus Des Peres Cinema: The Untold Masterclass That Shocked Film Fans! - 500apps

Marcus Des Peres Cinema: The Untold Masterclass That Shocked Film Fans! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 eta^4 = (-2i)^2 = 4i^2 = -4

📌 eta^4 + 3 = -1 = a(1 - i) + b = a - ai + b

📌 Imaginary part: \( -a = 0 \Rightarrow a = 0 \), then \( b = -1 \)

📌 So both give \( a = 0 \), \( b = -1 \)

📌 Conclusion: the remainder is constant \( -1 \)

📌 Alternatively, polynomial division confirms:

📌 Divide \( u^4 + 0u^3 + 0u^2 + 0u + 3 \) by \( u^2 - 2u + 2 \)

📌 First: \( u^4 \div u^2 = u^2 \), multiply: \( u^2(u^2 - 2u + 2) = u^4 - 2u^3 + 2u^2 \)

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