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Home » And $ d = 2 $ - Deep Underground Poetry

And $ d = 2 $ - Deep Underground Poetry

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 m(2) = 2(2)^3 - 9(2)^2 + 12(2) - 4 = 16 - 36 + 24 - 4 = 0

📌 So, \( x = 2 \) is a root. Use synthetic division to divide \( m(x) \) by \( x - 2 \):

📌 & 2 & -9 & 12 & -4 \

📌 & & 4 & -10 & 4 \

📌 & 2 & -5 & 2 & 0 \

📌 The quotient is \( 2x^2 - 5x + 2 \). Solve \( 2x^2 - 5x + 2 = 0 \) using the quadratic formula:

📌 x = rac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 2 \cdot 2}}{2 \cdot 2} = rac{5 \pm \sqrt{25 - 16}}{4} = rac{5 \pm \sqrt{9}}{4} = rac{5 \pm 3}{

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