Edexcel AS Paper 1 2021 November — Question 6

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2021
SessionNovember
TopicFactor & Remainder Theorem
TypeSolve p(algebraic transform) = 0

  1. In this question you should show all stages of your working.
Solutions relying on calculator technology are not acceptable.
  1. Using algebra, find all solutions of the equation $$3 x ^ { 3 } - 17 x ^ { 2 } - 6 x = 0$$
  2. Hence find all real solutions of $$3 ( y - 2 ) ^ { 6 } - 17 ( y - 2 ) ^ { 4 } - 6 ( y - 2 ) ^ { 2 } = 0$$