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📅 July 6, 2026 👤 scraface

Jul 06, 2026

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Solving this, we find \(A = 1\) and \(B = -1\). Thus:
Now, substitute this into the sum:
This is a telescoping series, where most terms cancel out:
After cancellation, we are left with:
Thus, the sum is:
- \frac{1}{51} = \frac{51}{51} - \frac{1}{51} = \frac{50}{51}
The final answer is:
\boxed{\frac{50}{51}}
Let \( f(x) \) be a polynomial such that \( f(x) = x^3 - 3x + 2 \). De...
Given \( f(x) = x^3 - 3x + 2 \), we define \( M(x) = f(x) - x \):

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