Edexcel FP1 2011 January — Question 4

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJanuary
TopicRoots of polynomials
4. Given that \(2 - 4 \mathrm { i }\) is a root of the equation $$z ^ { 2 } + p z + q = 0 ,$$ where \(p\) and \(q\) are real constants,
  1. write down the other root of the equation,
  2. find the value of \(p\) and the value of \(q\).
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