plumiRoots of polynomial equations: CAIE A‑Level Further Maths questions
Every CAIE A-Level Further Maths exam question on 1.1 Roots of polynomial equations, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 1, question 1: The cubic equation x 2 3 x 2 p x 5 0 , where p is a positive constant, has roots , a b c. , + - - = (a) State, in terms of p, the value of ab . [1] + bc + ca (b](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923111-jun24-01-qp.webp)
![Specimen Paper 1, question 4: The cubic equation z3 – z2 – z – 5 = 0 has roots α, β and γ. (a) Show that the value of α3 + β3 + γ3 is 19. [4] 7 (b) Find the value of α4 + β4 + γ4. [2] (c) Fi](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923101-spec-04-qp.webp)
All 2 questions on Roots of polynomial equations, as a list
- June 2024, Paper 1, Q1 (6 marks): The cubic equation x 2 3 x 2 p x 5 0 , where p is a positive constant, has roots , a b c. , + - - = (a) State, in terms of p, the value of ab . [1] + bc + ca (b
- Specimen, Paper 1, Q4 (9 marks): The cubic equation z3 – z2 – z – 5 = 0 has roots α, β and γ. (a) Show that the value of α3 + β3 + γ3 is 19. [4] 7 (b) Find the value of α4 + β4 + γ4. [2] (c) Fi
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