OCR FP1 2008 June — Question 6

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJune
TopicRoots of polynomials
6 The cubic equation \(x ^ { 3 } + a x ^ { 2 } + b x + c = 0\), where \(a , b\) and \(c\) are real, has roots ( \(3 + \mathrm { i }\) ) and 2 .
  1. Write down the other root of the equation.
  2. Find the values of \(a , b\) and \(c\).
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