CAIE FP1 2009 November — Question 3

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2009
SessionNovember
TopicPolynomial Division & Manipulation

3 The curve \(C\) has equation $$y = \frac { x ^ { 2 } - 5 x + 4 } { x + 1 }$$
  1. Obtain the coordinates of the points of intersection of \(C\) with the axes.
  2. Obtain the equation of each of the asymptotes of \(C\).
  3. Draw a sketch of \(C\).