Factors of polynomials: past paper questions
Real questions on factors of polynomials
The newest 20 of 77 written questions. Open one to see it on the real paper.
- 4037/12 · October/November 2025 · Q2a[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2025 · Q3[6]
6-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q1[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q4a[4]
4-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q7[6]
6-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q5a[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q5b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2024 · Q11a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2024 · Q3a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · October/November 2024 · Q3b[2]
2-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2024 · Q2a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2024 · Q2b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2024 · Q2c[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q1a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q1b(i)[2]
2-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q1b(ii)[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q4a[1]
1-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q4b(i)[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2024 · Q4b(ii)[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2023 · Q1a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
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What examiners said
Most candidates did not give their final answer in the required form, which was to find a factorised form of the equation and give each linear factor with its coefficients as integers. The most common 1 5 answer was 18 x + ( x − 1) x − or similar. It was expected that the answer be given in the 3 2 form −3 ( 3 x + 1)( x − 1)( 2 x − 5 ) . Some candidates did obtain this form, but others chose to mu...
— Examiner report, October/November 2023, 4037/12 Q1(a) (Cambridge)
The use of the phrase ‘Write down’ implies that the answer can just be written down with no extra working involved. The values of x could be obtained immediately from the graph with no calculation required. Whilst many candidates obtained a correct solution, some attempted to manipulate their answer to part (a).
— Examiner report, October/November 2023, 4037/12 Q1(b) (Cambridge)
Candidates who dealt with the information given in the stem of the question in order tended to have greater success with the solution. The information that p′ ( 0 ) = 12 enabled candidates to find the value of c straightaway. Many candidates appeared to ignore this information and just make use of the factor and remainder theorem obtaining two equations with three unknowns which could not be solve...
— Examiner report, October/November 2023, 4037/12 Q6(a) (Cambridge)
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