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what is the measure of sty in o below - Coaching Toolbox

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 \begin{array}{r|rrrr}

📌 & 1 & 0 & -3 & 2 \\

📌 & & 1 & 1 & -2 \\

📌 & 1 & 1 & -2 & 0 \\

📌 So $ R(x) = (x - 1)(x^2 + x - 2) $. Factor the quadratic:

📌 x^2 + x - 2 = (x + 2)(x - 1).

📌 R(x) = (x - 1)^2(x + 2).

📌 The roots are $ x = 1 $ (with multiplicity 2) and $ x = -2 $. Therefore, there are **two distinct real roots**, but **three real roots counting multiplicity**. Since the question asks for the number of real roots (not distinct), the answer is:

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