Edexcel C12 2014 January — Question 3

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2014
SessionJanuary
TopicFactor & Remainder Theorem
TypeDirect remainder then factorise
3. $$f ( x ) = 10 x ^ { 3 } + 27 x ^ { 2 } - 13 x - 12$$
  1. Find the remainder when \(\mathrm { f } ( x )\) is divided by
    1. \(x - 2\)
    2. \(x + 3\)
  2. Hence factorise \(\mathrm { f } ( x )\) completely.
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