AQA C1 2010 January — Question 1

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
TopicFactor & Remainder Theorem
TypeKnown polynomial, verify then factorise
1 The polynomial \(\mathrm { p } ( x )\) is given by \(\mathrm { p } ( x ) = x ^ { 3 } - 13 x - 12\).
  1. Use the Factor Theorem to show that \(x + 3\) is a factor of \(\mathrm { p } ( x )\).
  2. Express \(\mathrm { p } ( x )\) as the product of three linear factors.
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