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Home » Why Pulchra Is the Ultimate Keyword You Can’t Ignore – Here’s Why! - SITENAME

Why Pulchra Is the Ultimate Keyword You Can’t Ignore – Here’s Why! - SITENAME

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Question:** Find the cubic polynomial \( f(x) \) such that \( f(-1) = 4 \), \( f(0) = 1 \), \( f(2) = 10 \), and \( f(3) = 19 \).

📌 Solution:** Let \( f(x) = ax^3 + bx^2 + cx + d \). Use the given conditions to form a system of equations.

📌 From \( f(-1) = 4 \):

📌 -a + b - c + d = 4 \quad \text{(1)}

📌 From \( f(0) = 1 \):

📌 d = 1 \quad \text{(2)}

📌 From \( f(2) = 10 \):

📌 8a + 4b + 2c + d = 10 \quad \text{(3)}

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