Edexcel FP1 2017 June — Question 6

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2017
SessionJune
TopicRoots of polynomials
6. Given that 4 and \(2 \mathrm { i } - 3\) are roots of the equation $$x ^ { 3 } + a x ^ { 2 } + b x - 52 = 0$$ where \(a\) and \(b\) are real constants,
  1. write down the third root of the equation,
  2. find the value of \(a\) and the value of \(b\).
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