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Home » Did You Know These 7 Lyrics Changed How We Remember The Wreck Of The Edmund Fitzgerald? - RTA

Did You Know These 7 Lyrics Changed How We Remember The Wreck Of The Edmund Fitzgerald? - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 p(x) = 0 \cdot (x^4 - 1) + p(x)

📌 So the remainder is **$ p(x) $** itself. But the problem asks for the remainder — which is a polynomial of degree less than 4 — so it is $ p(x) $, but we are to **report it in standard form**.

📌 But we are given four values, so we reconstruct $ p(x) $.

📌 Let $ p(x) = ax^3 + bx^2 + cx + d $

📌 Use the values:

📌 $ p(0) = d = 2 $

📌 $ p(1) = a + b + c + d = 5 \Rightarrow a + b + c = 3 $

📌 $ p(2) = 8a + 4b + 2c + d = 12 \Rightarrow 8a + 4b + 2c = 10 $

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