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Home » Hence, there is **no maximum value**; it spans \((8, \infty)\). - Crankk.io

Hence, there is no maximum value; it spans \((8, \infty)\). - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 x^4 + 3x^3 - 2x^2 + x + 5 = (x^2 - x + 1)(x^2 + ax + b) + ax + c

📌 Expand right-hand side:

📌 = x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a)x + b

📌 Add \(ax + c\):

📌 x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a + a)x + (b + c) = x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (2a - b)x + (b + c)

📌 Match coefficients:

📌 \(x^4\): 1 = 1 â

📌 \(x^3\): \(a - 1 = 3 \Rightarrow a = 4\)

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