Edexcel Mathematics January 2023 · Paper 1 · Question 2 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

January 2023 · Paper 1 · Question 2 · 6 marks

2. In this question you must show all stages of your working. Solutions r elying entirely on calculator technology are not acceptable. f(x) = 4 x3 + 5x2 – 10 x + 4 a x ∈  where a is a positive constant. Given (x – a) is a factor of f( x), (a) show that a(4a2 + 5a – 6) = 0 (2) (b) Hence (i) find the value of a (ii) use algebra to find the exact solutions of the equation f(x) = 3 (4) 5