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Home » Shocking Secrets of CL₂ Lewis Structure: You Never Learned in Class! - AdVision eCommerce

Shocking Secrets of CL₂ Lewis Structure: You Never Learned in Class! - AdVision eCommerce

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: A robotics engineer is calibrating a sensor whose response curve follows the cubic polynomial $ f(x) $ such that $ f(1) = 3, f(2) = -1, f(3) = 5, f(4) = 11 $. Find $ f(0) $.

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

📌 f(1) &= a + b + c + d = 3 \\

📌 f(2) &= 8a + 4b + 2c + d = -1 \\

📌 f(3) &= 27a + 9b + 3c + d = 5 \\

📌 f(4) &= 64a + 16b + 4c + d = 11 \\

📌 Subtract consecutive equations to eliminate $ d $:

📌 $ (8a + 4b + 2c + d) - (a + b + c + d) = -1 - 3 \Rightarrow 7a + 3b + c = -4 $

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