Edexcel C2 2007 January — Question 5

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2007
SessionJanuary
TopicFactor & Remainder Theorem
TypeStandard verify, factorise, solve
5. $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + x - 6$$
  1. Use the factor theorem to show that \(( x + 2 )\) is a factor of \(\mathrm { f } ( x )\).
  2. Factorise \(\mathrm { f } ( x )\) completely.
  3. Write down all the solutions to the equation $$x ^ { 3 } + 4 x ^ { 2 } + x - 6 = 0$$
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