OCR MEI FP1 2012 June — Question 8

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicRoots of polynomials
8
  1. Verify that \(1 + 3 \mathrm { j }\) is a root of the equation \(3 z ^ { 3 } - 2 z ^ { 2 } + 22 z + 40 = 0\), showing your working.
  2. Explain why the equation must have exactly one real root.
  3. Find the other roots of the equation.
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