Edexcel P2 2023 June — Question 4

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2023
SessionJune
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters

  1. The binomial expansion, in ascending powers of \(x\), of
$$( 3 + p x ) ^ { 5 }$$ where \(p\) is a constant, can be written in the form $$A + B x + C x ^ { 2 } + D x ^ { 3 } \ldots$$ where \(A\), \(B\), \(C\) and \(D\) are constants.
  1. Find the value of \(A\) Given that
    • \(B = 18 D\)
    • \(p < 0\)
    • find
      1. the value of \(p\)
      2. the value of \(C\)