CIE IAL · Mathematics · 9709 P3 · Algebra
Topic Questions: • divide a polynomial, of degree not exceeding 4, by a linear or quadratic polynomial, and identify the quotient and remainder (which may be zero) — 9709 P3 Algebra
24 9709 P3 Algebra topic questions are tagged to this syllabus point across 21 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Algebra syllabus point appears in 21 9709 P3 papers across 2020–2026, contributing 24 topic questions and 82 marks. The most recent appearance is 9709/31 May/June 2026. That equals 15.4% of the 156 topic questions and 14.3% of the 573 marks tagged to Algebra. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/31May/June 2026 · CIE IAL | Q10 Polynomial Factor and Remainder Theorem - CIE Pure Mathematics 2026 Q10 |
FRQ | 2 of 3 parts ((b)(i), (b)(ii)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2026 · CIE IAL | Q1 Polynomial Division - CIE A Level Mathematics 2026 June Paper 32 Q1 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/32March 2026 · CIE IAL | Q6 Polynomial Factorisation and Division - CIE P3 2026 Mar Q6 |
FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2025 · CIE IAL | Q2 Polynomial Division - CIE Pure Mathematics 2025 Nov Paper 33 Q2 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/31May/June 2025 · CIE IAL | Q10 Polynomial Division and Differential Equations - CIE Pure Mathematics 2025 Jun Paper 31 Q10 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2025 · CIE IAL | Q10 Polynomial Division and Integration by Parts - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q10 |
FRQ | 1 of 2 parts ((a)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/35May/June 2025 · CIE IAL | Q9 Partial Fraction Decomposition and Binomial Expansion - CIE A Level Mathematics |
FRQ | 1 of 2 parts ((a)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2025 · CIE IAL | Q9 Factor Theorem and Polynomial Inequality - CIE A-Level Math 2025 Mar Paper 32 Q9 |
FRQ | 2 of 3 parts ((b), (c)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2024 · CIE IAL | Q9 Polynomial Division and Integration - CIE A-Level Pure Mathematics 2024 Nov Q9 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q5 Partial Fraction Decomposition of Improper Fraction - CIE A-Level Pure Mathematics |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q7 Polynomial Factorization and Trigonometric Equation - CIE A-Level Pure Mathematics |
FRQ | 1 of 3 parts ((b)) | 2 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2024 · CIE IAL | Q1 Polynomial Division - CIE 9709 March 2024 Paper 32 Q1 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/33May/June 2023 · CIE IAL | Q2 Polynomial Long Division - CIE Pure Mathematics 3 2023 Jun Q2 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/32March 2023 · CIE IAL | Q3 Polynomial Division and Remainder - CIE Pure Mathematics 2023 Mar Paper 32 Q3 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/32October/November 2022 · CIE IAL | Q2 Factor Theorem and Polynomial Inequality - CIE Pure Mathematics 2022 Nov Paper 32 Q2 |
FRQ | 1 of 2 parts ((b)) | 4 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2022 · CIE IAL | Q5 Repeated Factors of Polynomial - CIE Pure Mathematics 2022 Jun Paper 31 Q5 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2022 · CIE IAL | Q8 Polynomial Division and Integration - CIE A Level Mathematics 2022 Mar Paper 32 Q8 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/32October/November 2021 · CIE IAL | Q11 Curve Gradient and Iterative Root Finding - CIE A-Level Mathematics 2021 Nov Paper 32 Q11 |
FRQ | 1 of 3 parts ((b)) | 4 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2021 · CIE IAL | Q1 Polynomial Long Division - CIE 9709 W21 P33 Q1 |
FRQ | 1 part | 3 | Medium | Go to Practice Hub |
| 9709/33May/June 2021 · CIE IAL | Q10 Roots of Polynomial with Complex Coefficients - CIE 9709 2021 Jun Paper 33 Q10 |
FRQ | 1 of 2 parts ((b)) | 7 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/31October/November 2020 · CIE IAL | Q7 Roots of Cubic Polynomial with Complex Coefficients - CIE 9709 W20 P31 Q7 |
FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2020 · CIE IAL | Q5 Polynomial Division and Integration - CIE 2020 Jun Paper 31 Q5 |
FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Algebra
• recall an appropriate form for expressing rational functions in partial fractions, and carry out the decomposition, in cases where the denominator is no more complicated than – – –
178 marks · 2020–2026
• understand the meaning of , sketch the graph of and use relations such as and when solving equations and inequalities
88 marks · 2020–2026
• use the expansion of , where is a rational number and
107 marks · 2020–2026
• use the factor theorem and the remainder theorem
82 marks · 2021–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 22 question stems cover this subtopic across 21 papers, but only 24 tagged parts and 82 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.