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bolongo bay beach resort st thomas all inclusive - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Question: Let $ p(x) $ be a polynomial such that

📌 p(x) = x^3 - 3x^2 + 5x - 7,

📌 and define $ q(x) = p(x+1) $. What is the coefficient of $ x^2 $ in $ q(x) $?

📌 and $ q(x) = p(x+1) $. To find the coefficient of $ x^2 $ in $ q(x) $, we compute:

📌 q(x) = p(x+1) = (x+1)^3 - 3(x+1)^2 + 5(x+1) - 7.

📌 Now expand each term:

📌 -3(x+1)^2 = -3(x^2 + 2x + 1) = -3x^2 - 6x - 3, \\

📌 5(x+1) = 5x + 5.

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