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Home » Now consider **product modulo small numbers**. Try small cases: - Professionaloutdoormedia

Now consider product modulo small numbers. Try small cases: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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Let $ \omega $ be a primitive cube root of unity, satisfying $ \omega^...
e 1 $, and $ \omega^2 + \omega + 1 = 0 $.
We evaluate $ (x^2 + x + 1)^3 $ at $ x = \omega $:
\omega^2 + \omega + 1 = 0 \Rightarrow x^2 + x + 1 = 0 ext{ at } x = \...
Thus, $ (x^2 + x + 1)^3 = 0 $ at $ x = \omega $, so $ x^2 + x + 1 $ is...
Therefore, the remainder is 0.
Hence, the final answer is:
$$### Question 1
A climatologist is analyzing rainfall data over a 5-year period. The a...
Add the annual rainfall amounts:

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