Roots of polynomial equations: past paper questions
Real questions on roots of polynomial equations
The newest 20 of 130 written questions. Open one to see it on the real paper.
- 9231/11 · October/November 2025 · Q1a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q1b[5]
5-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q1c[1]
1-mark “Deduce” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q4a[4]
4-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q4b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · October/November 2025 · Q4c[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/12 · October/November 2025 · Q2a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/12 · October/November 2025 · Q2b[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/12 · October/November 2025 · Q7e[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/13 · October/November 2025 · Q4a[4]
4-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/13 · October/November 2025 · Q4b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/13 · October/November 2025 · Q4c[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/13 · October/November 2025 · Q7e[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/22 · October/November 2025 · Q2[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · October/November 2025 · Q5a[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q2a[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q5a[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · May/June 2025 · Q2a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · May/June 2025 · Q2b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/11 · May/June 2025 · Q2c[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
Those candidates who tried to work with the inequality had little success unless they considered both cases for the sign of ( x 2 − x − 2) . When multiplying inequalities by variable terms, candidates should be more aware of the need to establish the sign of the multiplication term. The best solutions used equations to find the critical values, although the value x = 0 was sometimes omitted. The s...
— Examiner report, October/November 2023, 9231/11 Q7(e) (Cambridge)
The majority of candidates correctly stated the modulus and argument of 4 + 4 3i . Good candidates maintained accuracy when taking the cube root of the modulus and manipulating the argument, leaving the three roots in the required form.
— Examiner report, October/November 2023, 9231/21 Q2 (Cambridge)
The majority of candidates correctly stated the modulus and argument of 4 + 4 3i . Good candidates maintained accuracy when taking the cube root of the modulus and manipulating the argument, leaving the three roots in the required form.
— Examiner report, October/November 2023, 9231/23 Q2 (Cambridge)
Past papers, syllabus and examiner reports © UCLES (Cambridge University Press & Assessment). Questions are matched to topics from the official syllabus. AssessPro is independent and not endorsed by Cambridge.