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Home » t = \frac{2 \pm \sqrt4 + 180}6 - Treasure Valley Movers

t = \frac{2 \pm \sqrt4 + 180}6 - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 The final answer is $ \boxed{3x^6 - 40x^4 + 181x^2 - 278} $.

📌 Question: A climatologist models temperature anomalies with a cubic polynomial $ g(x) $ satisfying $ g(1) = -3 $, $ g(2) = 5 $, $ g(3) = 21 $, and $ g(4) = 55 $. Find $ g(x^2 - 1) $.

📌 Solution: Assume $ g(x) = ax^3 + bx^2 + cx + d $. Using the given values, we form:

📌 a + b + c + d = -3 \\

📌 8a + 4b + 2c + d = 5 \\

📌 27a + 9b + 3c + d = 21 \\

📌 64a + 16b + 4c + d = 55

📌 Subtracting equations:

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