Edexcel C2 2009 June — Question 3

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicFactor & Remainder Theorem
TypeFind constant, factorise completely

3. $$f ( x ) = ( 3 x - 2 ) ( x - k ) - 8$$ where \(k\) is a constant.
  1. Write down the value of \(\mathrm { f } ( k )\). When \(\mathrm { f } ( x )\) is divided by \(( x - 2 )\) the remainder is 4
  2. Find the value of \(k\).
  3. Factorise f(x) completely.