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Home » The Dark Legacy of Grendel’s Mother: Why Fans Are Obsessed! - Abbey Badges

The Dark Legacy of Grendel’s Mother: Why Fans Are Obsessed! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 = 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

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

📌 \(x^2\): \(b - a + 1 = -2\), \(b - 4 + 1 = -2 \Rightarrow b = 1\)

📌 \(x\): \(2a - b = 1 \Rightarrow 8 - 1 = 7

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