Edexcel CP2 2019 June — Question 2

Exam BoardEdexcel
ModuleCP2 (Core Pure 2)
Year2019
SessionJune
TopicRoots of polynomials

  1. The roots of the equation
$$x ^ { 3 } - 2 x ^ { 2 } + 4 x - 5 = 0$$ are \(p , q\) and \(r\).
Without solving the equation, find the value of
  1. \(\frac { 2 } { p } + \frac { 2 } { q } + \frac { 2 } { r }\)
  2. \(( p - 4 ) ( q - 4 ) ( r - 4 )\)
  3. \(p ^ { 3 } + q ^ { 3 } + r ^ { 3 }\)