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Home » From Heartwarming to Wildly Mind-Blowing: The Very Best Shows of All Time! - 500apps

From Heartwarming to Wildly Mind-Blowing: The Very Best Shows of All Time! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 f(t) = t^3 + 2t^2 - 5t + 6

📌 is divided by $ t - 1 $.

📌 By the **Remainder Theorem**, the remainder is simply $ f(1) $.

📌 f(1) = 1^3 + 2(1)^2 - 5(1) + 6 = 1 + 2 - 5 + 6 = 4.

📌 So the remainder is:

📌 f(x + 1) - f(x) = 6x + 4.

📌 Find $ f(x) $.

📌 This is a finite difference equation. Since the difference is linear in $ x $, $ f(x) $ must be a quadratic polynomial. Let:

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