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Home » Let \(x\) be the amount of 70% solution added. - IQnection

Let \(x\) be the amount of 70% solution added. - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 5**Question:** A herpetologist is studying a population of lizards in a particular region and models their growth with the polynomial \( P(x) = x^4 - 5x^3 + 6x^2 + 4x - 8 \). Determine the remainder when \( P(x) \) is divided by \( x - 2 \).

📌 Solution:** To find the remainder when \( P(x) = x^4 - 5x^3 + 6x^2 + 4x - 8 \) is divided by \( x - 2 \), we use the Remainder Theorem, which states that the remainder of a polynomial \( P(x) \) divided by \( x - c \) is \( P(c) \).

📌 Here, \( c = 2 \). Calculate \( P(2) \):

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