Students will apply pattern recognition and past knowledge

Last updated: 8/8/2022

Students will apply pattern recognition and past knowledge to solve new problems. This question has multiple parts. 1. Factor x³-1 2. Factor x⁵-1 1. What are the possible rational roots of this function? 2. Which of those are actually roots? 3. Now factor x⁷ - 1. 4. What is the pattern between these three problems? Based on the pattern you see in the solutions, what is your prediction for the factorization of x⁹⁹⁹-1