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For the first day, there are $5$ choices. - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Question: A cartographer uses a polynomial $ p(x) $ of degree 3 such t...
Solution: Since $ p(x) $ is a cubic polynomial, when dividing by $ x^4...
p(x) = \text{remainder of } p(x) \div (x^4 - 1) \quad \text{only if }...
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:

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