CIE IAL · Mathematics · 9709 P2 · Algebra
Topic Questions: • use the factor theorem and the remainder theorem — 9709 P2 Algebra
56 9709 P2 Algebra topic questions are tagged to this syllabus point across 32 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 32 9709 P2 papers across 2020–2026, contributing 56 topic questions and 173 marks. The most recent appearance is 9709/22 May/June 2026. That equals 28.0% of the 200 topic questions and 29.2% of the 593 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 |
|---|---|---|---|---|---|---|
| 9709/22May/June 2026 · CIE IAL | Q6 Quartic Polynomial and Iterative Sequence - CIE Pure Mathematics 2026 Jun Paper 22 Q6 |
FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/23May/June 2026 · CIE IAL | Q6 Factor Theorem and Numerical Solution of Quartic - CIE Pure Mathematics 2026 Jun Paper 23 Q6 |
FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/25May/June 2026 · CIE IAL | Q6 Quartic Polynomial Factor and Iteration - CIE 9709 Pure Mathematics 2026 Jun Paper 25 Q6 |
FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2026 · CIE IAL | Q5 Polynomial Remainder Theorem and Cosecant Solution - CIE 9709 P22 2026 Q5 |
FRQ | 2 of 3 parts ((a), (c)) | 4 of 6 on the paper |
Medium | Go to Practice Hub |
| 9709/22October/November 2025 · CIE IAL | Q4 Polynomial Division and Finding Real Roots - CIE Pure Mathematics 2025 Paper 22 Q4 |
FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper |
Easy | Go to Practice Hub |
| 9709/23October/November 2025 · CIE IAL | Q7 Polynomial Factors and Numerical Iteration - CIE P2 2025 Q7 |
FRQ | 2 of 4 parts ((a), (b)) | 6 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/25October/November 2025 · CIE IAL | Q7 Polynomial Factorization and Iterative Root Finding - CIE 9709 Pure Mathematics 2025 Nov Paper 25 Q7 |
FRQ | 1 of 4 parts ((a)) | 2 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2025 · CIE IAL | Q5 Polynomial Factor Theorem and Trigonometric Equation - CIE A-Level Maths 2025 Jun Paper 21 Q5 |
FRQ | 3 parts ((a), (b), (c)) | 9 | Medium | Go to Practice Hub |
| 9709/23May/June 2025 · CIE IAL | Q5 Factorisation and Trigonometric Application of Polynomial - CIE Pure Mathematics 2025 Jun Paper 23 Q5 |
FRQ | 3 parts ((a), (b), (c)) | 9 | Medium | Go to Practice Hub |
| 9709/25May/June 2025 · CIE IAL | Q5 Polynomial Factorisation and Trigonometric Equation - CIE Pure Maths 2025 Jun P25 Q5 |
FRQ | 2 of 3 parts ((a), (c)) | 6 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/21October/November 2024 · CIE IAL | Q4 Polynomial Factorization and Trigonometric Application - A-Level Mathematics Q4 |
FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/22October/November 2024 · CIE IAL | Q5 Polynomial Factor and Remainder Theorem - CIE Pure Maths 2024 Nov Paper 22 Q5 |
FRQ | 2 of 3 parts ((a), (b)) | 7 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/23October/November 2024 · CIE IAL | Q4 Polynomial Factorisation and Trigonometric Solution - CIE Pure Mathematics Q4 |
FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2024 · CIE IAL | Q7 Polynomial Division and Integration with Logarithms - CIE 9709 2024 Jun Paper 21 Q7 |
FRQ | 1 of 2 parts ((a)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/22March 2024 · CIE IAL | Q3 Polynomial Factorisation and Trigonometric Solution - CIE 9709 March 2024 Paper 22 Q3 |
FRQ | 2 parts ((a), (b)) | 7 | Medium | Go to Practice Hub |
| 9709/21October/November 2023 · CIE IAL | Q5 Polynomial Factor and Remainder Theorem - A-Level Mathematics |
FRQ | 2 parts ((a), (b)) | 9 | Medium | Go to Practice Hub |
| 9709/22October/November 2023 · CIE IAL | Q1 Polynomial Remainder Theorem - CIE 9709 W23 QP 22 Q1 |
FRQ | 1 part | 2 | Easy | Go to Practice Hub |
| 9709/23October/November 2023 · CIE IAL | Q5 | FRQ | 2 parts ((a), (b)) | 9 | Medium | Go to Practice Hub |
| 9709/21May/June 2023 · CIE IAL | Q4 Polynomial Factorization and Modulus Equation - CIE A-Level Mathematics 2023 Jun Paper 21 Q4 |
FRQ | 2 of 3 parts ((a), (b)) | 5 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/22May/June 2023 · CIE IAL | Q7 Parametric Differentiation and Polynomial Factorization - CIE Pure Mathematics 2023 May Paper 22 Q7 |
FRQ | 1 of 3 parts ((b)) | 2 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/23May/June 2023 · CIE IAL | Q7 Parametric Differentiation and Polynomial Factorization - CIE Pure Mathematics 2023 Jun Paper 23 Q7 |
FRQ | 2 of 3 parts ((b), (c)) | 5 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/22March 2023 · CIE IAL | Q3 Factor and Remainder Theorem with Cubic Polynomial - CIE Pure Maths 2 2023 Mar Paper 22 Q3 |
FRQ | 2 parts ((a), (b)) | 8 | Easy | Go to Practice Hub |
| 9709/23May/June 2022 · CIE IAL | Q5 Polynomial Factorisation and Exponential Equation - CIE P2 2022 Jun Q5 |
FRQ | 2 parts ((a), (b)) | 7 | Easy | Go to Practice Hub |
| 9709/22March 2022 · CIE IAL | Q6 Polynomial Division and Trigonometric Equation - CIE A-Level Mathematics Q6 |
FRQ | 2 of 3 parts ((a), (c)) | 8 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/23October/November 2021 · CIE IAL | Q6 Polynomial Remainder Factor Theorem and Trigonometric Equation - CIE P2 2021 Nov Q6 |
FRQ | 3 of 4 parts ((a), (b), (c)) | 7 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2021 · CIE IAL | Q7 Polynomial Factorisation and Exponential Equation - CIE 9709 P21 2021 Jun Q7 |
FRQ | 3 parts ((a), (b), (c)) | 9 | Easy | Go to Practice Hub |
| 9709/22May/June 2021 · CIE IAL | Q5 Polynomial Division and Exponential Transformation - CIE Math 2021 Jun Paper 22 Q5 |
FRQ | 2 of 3 parts ((b), (c)) | 4 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/22March 2021 · CIE IAL | Q6 Factor and Remainder Theorems with Exponential Substitution - CIE 9709 March 2021 Paper 22 Q6 |
FRQ | 2 parts ((a), (b)) | 10 | Medium | Go to Practice Hub |
| 9709/21October/November 2020 · CIE IAL | Q2 Polynomial Factor and Remainder Theorem - CIE Pure Mathematics 2020 Nov Paper 21 Q2 |
FRQ | 1 part | 5 | Easy | Go to Practice Hub |
| 9709/22October/November 2020 · CIE IAL | Q7 Quartic Polynomial, Factor Theorem, and Iterative Approximation - CIE A-Level Pure Mathematics 2020 Nov Paper 22 Q7 |
FRQ | 1 of 3 parts ((a)) | 2 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/21May/June 2020 · CIE IAL | Q2 Polynomial Factor Theorem - CIE 9709 2020 Jun Paper 21 Q2 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/21May/June 2020 · CIE IAL | Q7 Polynomial Division and Integration - CIE 9709 2020 Jun Paper 21 Q7 |
FRQ | 2 of 3 parts ((a), (c)) | 7 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/22March 2020 · CIE IAL | Q2 Polynomial Division and Cubic Roots - CIE 9709 March 2020 Paper 22 Q2 |
FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Algebra
• divide a polynomial, of degree not exceeding 4, by a linear or quadratic polynomial, and identify the quotient and remainder (which may be zero)
161 marks · 2020–2026
• understand the meaning of , sketch the graph of and use relations such as and when solving equations and inequalities
192 marks · 2020–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 33 question stems cover this subtopic across 32 papers, but only 56 tagged parts and 173 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.