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Home » Solution: Multiply $ \frac34 $ by $ \frac52 $: - Aurero

Solution: Multiply $ \frac34 $ by $ \frac52 $: - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Using the Rational Root Theorem, we test possible rational roots: \( \pm 1, \pm 2, \pm 3, \pm 6 \).

📌 \[ 1^3 - 4(1)^2 + 1 + 6 = 1 - 4 + 1 + 6 = 4

📌 \[ (-1)^3 - 4(-1)^2 + (-1) + 6 = -1 - 4 - 1 + 6 = 0 \]

📌 Thus, \( x = -1 \) is a root.

📌 We perform synthetic division of \( x^3 - 4x^2 + x + 6 \) by \( x + 1 \):

📌 egin{array}{r|rrrr}

📌 & 1 & -4 & 1 & 6 \

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