Edexcel F1 2014 January — Question 4

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2014
SessionJanuary
TopicRoots of polynomials

4. $$f ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 5 x ^ { 2 } - 19 x - 60$$
  1. Given that \(x = - 4\) and \(x = 3\) are roots of the equation \(\mathrm { f } ( x ) = 0\), use algebra to solve \(\mathrm { f } ( x ) = 0\) completely.
  2. Show the four roots of \(\mathrm { f } ( x ) = 0\) on a single Argand diagram.