OCR FP1 2010 January — Question 6

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJanuary
TopicRoots of polynomials
6 One root of the cubic equation \(x ^ { 3 } + p x ^ { 2 } + 6 x + q = 0\), where \(p\) and \(q\) are real, is the complex number 5-i.
  1. Find the real root of the cubic equation.
  2. Find the values of \(p\) and \(q\).
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