Edexcel F1 2014 June — Question 2

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2014
SessionJune
TopicRoots of polynomials
2. Given that \(- 2 + 3 \mathrm { i }\) 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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