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Home » Cancel: \(x + 2\). - High Altitude Science

Cancel: \(x + 2\). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Substitute $ a = -\frac{14}{3}, b = 33 $ into (5):

📌 $ 7(-\frac{14}{3}) + 3(33) + c = -4 \Rightarrow -\frac{98}{3} + 99 + c = -4 $

📌 $ \Rightarrow \frac{-98 + 297}{3} + c = -4 \Rightarrow \frac{199}{3} + c = -4 \Rightarrow c = -4 - \frac{199}{3} = -\frac{211}{3} $

📌 Now use (1) to solve for $ d $:

📌 $ a + b + c + d = 3 \Rightarrow -\frac{14}{3} + 33 - \frac{211}{3} + d = 3 $

📌 Combine fractions: $ \frac{-14 - 211}{3} + 33 + d = 3 \Rightarrow -\frac{225}{3} + 33 + d = 3 \Rightarrow -75 + 33 + d = 3 $

📌 $ \Rightarrow -42 + d = 3 \Rightarrow d = 45 $

📌 f(x) = -\frac{14}{3}x^3 + 33x^2 - \frac{211}{3}x + 45

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