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Home » OFicinas Hacks: Unlock Free Services Most People Overlook! - SUpost

OFicinas Hacks: Unlock Free Services Most People Overlook! - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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f(x+y) + f(x-y) = c(x+y)^2 + c(x-y)^2 = c(x^2 + 2xy + y^2 + x^2 - 2xy...
So it satisfies the equation.
Given $ f(1) = c(1)^2 = 3 \Rightarrow c = 3 $, so $ f(x) = 3x^2 $.
Then $ f(5) = 3 \cdot 25 = \boxed{75} $
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)

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