OCR MEI FP1 2008 January — Question 3

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJanuary
TopicRoots of polynomials

3
  1. Show that \(z = 3\) is a root of the cubic equation \(z ^ { 3 } + z ^ { 2 } - 7 z - 15 = 0\) and find the other roots.
  2. Show the roots on an Argand diagram.