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drury inn & suites evansville east evansville in 47715 - Coaching Toolbox

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 To find the real solutions, we use the Rational Root Theorem to test possible rational roots, which are divisors of 2. The candidates are \( \pm 1, \pm 2 \).

📌 Testing \( x = 1 \):

📌 1^3 - 4(1) + 2 = 1 - 4 + 2 = -1 \quad (\text{not a root})

📌 Testing \( x = -1 \):

📌 Testing \( x = 2 \):

📌 2^3 - 4(2) + 2 = 8 - 8 + 2 = 2 \quad (\text{not a root})

📌 Testing \( x = -2 \):

📌 Since none of the rational roots work, we proceed with finding roots using numerical or graphing methods. However, for simplicity, we can use a substitution or derivative analysis to approximate or verify roots.

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