AQA AS Paper 1 2019 June — Question 3 3 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2019
SessionJune
Marks3
TopicFactor & Remainder Theorem
TypeTwo factors given

3 It is given that \(( x + 1 )\) and \(( x - 3 )\) are two factors of \(\mathrm { f } ( x )\), where $$\mathrm { f } ( x ) = p x ^ { 3 } - 3 x ^ { 2 } - 8 x + q$$ 3
  1. Find the values of \(p\) and \(q\).
    [0pt] [3 marks]
    3
  2. Fully factorise f (x).
    \section*{Fully justify your answer.}