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Home » Shocked by the JongKing Strategy: How One Guy Turned a Dream into Reality! - American Beagle Club

Shocked by the JongKing Strategy: How One Guy Turned a Dream into Reality! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \(\omega^4 = \omega \cdot \omega^3 = \omega(-1) = -\omega\)

📌 \(3\omega^3 = 3(-1) = -3\)

📌 \(-2\omega^2 = -2(\omega - 1) = -2\omega + 2\)

📌 \(\omega\)

📌 So \(a\omega + b = 3\omega + 4\), hence \(a = 3\), \(b = 4\).

📌 Similarly, check at \(\omega^2\) (the conjugate root), but since coefficients are real, and we already matched, the remainder is \(3x + 4\).

📌 Verify using algebra:

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

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