Edexcel C2 2005 June — Question 3

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
TopicFactor & Remainder Theorem
TypeKnown polynomial, verify then factorise

  1. Use the factor theorem to show that \(( x + 4 )\) is a factor of \(2 x ^ { 3 } + x ^ { 2 } - 25 x + 12\).
  2. Factorise \(2 x ^ { 3 } + x ^ { 2 } - 25 x + 12\) completely.