Edexcel Paper 2 2020 October — Question 8

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
Year2020
SessionOctober
TopicChain Rule

  1. A curve \(C\) has equation \(y = \mathrm { f } ( x )\)
Given that
  • \(\mathrm { f } ^ { \prime } ( x ) = 6 x ^ { 2 } + a x - 23\) where \(a\) is a constant
  • the \(y\) intercept of \(C\) is - 12
  • ( \(x + 4\) ) is a factor of \(\mathrm { f } ( x )\)
    find, in simplest form, \(\mathrm { f } ( x )\)