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Home » "What Do Jake and Finn Dare? Their Most Mysterious Mission Will Shock You! - inBeat

"What Do Jake and Finn Dare? Their Most Mysterious Mission Will Shock You! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Let \( f(x) \) be a polynomial such that \( f(x) = x^3 - 3x + 2 \). Define \( M(x) = f(x) - x \). Find all real solutions to the equation \( M(x) = 0 \).

📌 Given \( f(x) = x^3 - 3x + 2 \), we define \( M(x) = f(x) - x \):

📌 M(x) = (x^3 - 3x + 2) - x = x^3 - 4x + 2

📌 We need to solve \( M(x) = 0 \):

📌 x^3 - 4x + 2 = 0

📌 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})

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