OCR MEI Further Pure Core Specimen — Question 4

Exam BoardOCR MEI
ModuleFurther Pure Core (Further Pure Core)
SessionSpecimen
TopicRoots of polynomials
4 You are given that \(z = 1 + 2 \mathrm { i }\) is a root of the equation \(z ^ { 3 } - 5 z ^ { 2 } + q z - 15 = 0\), where \(q \in \mathbb { R }\). Find
  • the other roots,
  • the value of \(q\).
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