Question: Find the remainder when $ (x^2 + x + 1)^3 $ is divided by $ x^2 - x + 1 $.
Related Articles
- Then, substitute $ u = x^3 - 1 $:
- h(x^3 - 1) = (x^3 - 1)^2 + 2 = x^6 - 2x^3 + 1 + 2 = x^6 - 2x^3 + 3
- oxed{x^6 - 2x^3 + 3}
- Solution: Let us compute $ (x^2 + x + 1)^3 \mod (x^2 - x + 1) $.
- Note that $ x^2 + x + 1 $ and $ x^2 - x + 1 $ are related via complex roots:
- Let $ \omega $ be a primitive cube root of unity, satisfying $ \omega^3 = 1 $, $ \omega
Trending Articles
Radioactive Spider Spotted Alive? Scientists Race to Contain Deadly New Predator!
The Horrifying Truth About Radioactive Spiders Catches Global Attention – A Monster From Nightmares!
Radioactive Spider Infestation Under Your Home? Experts Warn of Unprecedented Danger!
How a Single Radioactive Spider Could Take Over the World – Science Going Wild!
Unleash the Fury: How to Conquer Ragnarok Main Like a Legend!
Ragnarok Main Attacker Revealed – Maximize Your Victory Chances Tonight!
Become an Ragnarok Main Master: Pro Secrets You Need to Succeed!
Shock the World: Insider Radiohead Merch That Everyone’s Obsessed With!
You Won’t Believe These Rare Radiohead Merch Items Selling FAST!
Radiohead Merch This Legendary Band Made FANS SHOUTING for Limited Editions!