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Home » Sonic Heroes Unleashed – The Ultimate Battle You Never Knew You Needed! - Baxtercollege

Sonic Heroes Unleashed – The Ultimate Battle You Never Knew You Needed! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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🔥 Popular Posts

But $ p(x) $ is cubic, so remainder $ r(x) = p(x) $, but only if $ x^4...
Wait: actually, **any** polynomial $ p(x) $ of degree less than 4 **is...
p(x) = 0 \cdot (x^4 - 1) + p(x)
So the remainder is **$ p(x) $** itself. But the problem asks for the...
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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