plumiThe factor theorem: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.11 The factor theorem, 2021–2025, with its mark scheme and examiner’s report.
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All 6 questions on The factor theorem, as a list
- June 2025, Paper 1, Q19 (5 marks): (a) (x – 1) is a factor of 3x3 + 2x2 – 3x – 2 Factorise fully 3x3 + 2x2 – 3x – 2 Answer 19 (b) f(x) = (x – 2)(5x + 4)(3x + 2) c is a positive integer. The value
- June 2024, Paper 1, Q11 (6 marks): (a) (3x – 7) is a factor of 3x3 – 4x2 – 13x + 14 Work out the other two linear factors. Answer and 11 (b) (x – 2) is a factor of ax4 – 3ax3 + 5x – 22 Work out t
- June 2023, Paper 2, Q16 (4 marks): (2x – 3) is a factor of 6x3 – 25x2 + 28x – 6 Solve 6x3 – 25x2 + 28x – 6 = 0 Give all solutions as exact values. Answer
- June 2022, Paper 2, Q20 (6 marks): f(x) = 2x3 + 11x2 + 12x – 9 20 (a) Use the factor theorem to show that (2x – 1) is a factor of f(x). 20 (b) Show that f(x) = 0 has exactly two solutions.
- November 2021, Paper 1, Q16 (5 marks): f(x) = 200x3 + 100x2 – 18x – 9 16 (a) Use the factor theorem to show that (2x + 1) is a factor of f(x). 16 (b) Hence solve f(x) = 0 Answer
- Specimen, Paper 2, Q19 (5 marks): f(x) = 3x3 – 2x2 – 7x – 2 19 (a) Use the factor theorem to show that (3x + 1) is a factor of f(x). 19 (b) Factorise f(x) fully. Answer
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