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Home » But we are given \( b = -6 \), so: - Veritas Home Health

But we are given \( b = -6 \), so: - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: A deep-sea microbial population grows such that the number of organisms at time $ t $ is modeled by

📌 N(t) = \frac{t^3 + 2t^2 - 5t + 6}{t - 1}.

📌 Find the remainder when $ t^3 + 2t^2 - 5t + 6 $ is divided by $ t - 1 $.

📌 We are asked to find the remainder when

📌 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.

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