# Topic Questions: 1.6 Finding conjugate complex roots and/or real roots of a quartic equation with real coefficients. — WFM01 Complex numbers > 48 WFM01 Complex numbers topic questions (156 marks) on 1.6 Finding conjugate complex roots and/or real… — 24 papers, 2014–2026. Open the exact question in… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/index.md --- Edexcel IAL · Mathematics · WFM01 · Complex numbers 48 WFM01 Complex numbers topic questions are tagged to this syllabus point across 24 papers (2014–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 48 topic questions - 24 papers - 156 tagged marks - 34.8% of topic questions - 39.2% of topic marks - 2014–2026 - Syllabus 2014–current - [All WFM01 Complex numbers topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Complex numbers syllabus point appears in 24 WFM01 papers across 2014–2026, contributing 48 topic questions and 156 marks.** The most recent appearance is WFM01/01 January 2026. That equals 34.8% of the 138 topic questions and 39.2% of the 398 marks tagged to Complex numbers. 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 | | --- | --- | --- | --- | --- | --- | --- | | [**WFM01/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2026-january-wfm01-01/#q-2) | **Q2** Roots of Polynomials - Edexcel IAL FP1 Jan 2026 Q2 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=298fde49-856b-4693-b666-5881c3e84cab&question_id=24320a51-ce4e-4fe8-96d0-5617f75f5390&source_detail=WFM01%2F01+January+2026) | | [**WFM01/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2026-january-wfm01-02/#q-2) | **Q2** Quartic Equation Roots & Argand Diagram - Edexcel IAL FP1 Jan 2026 Q2 | FRQ | 1 of 2 parts ((a)) | 7 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=529e5231-b3ed-40f1-b27e-09a94c34a113&question_id=a6fca13b-0629-4a4f-9dbd-fbe1d2e1e370&source_detail=WFM01%2F02+January+2026) | | [**WFM01/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2025-june-wfm01-01/#q-7) | **Q7** Quartic Equations and Roots - Edexcel IAL FP1 2025 Q7 | FRQ | 4 parts ((a), (b), (c), (d)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6e915df4-1e10-43e9-a39e-05161dc597e3&question_id=2890e1ba-4719-454f-aa9f-84c2bb58ac2b&source_detail=WFM01%2F01+June+2025) | | [**WFM01/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2025-january-wfm01-01/#q-4) | **Q4** Polynomial Roots and complex numbers - Edexcel IAL FP1 2025 Jan Q4 | FRQ | 2 of 3 parts ((a), (b)) | 6 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=cb5712c8-dcba-4c14-aa66-b84976e99ef8&question_id=ea6632be-6fce-4b2c-be4b-c13f63cb1225&source_detail=WFM01%2F01+January+2025) | | [**WFM01/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2024-june-wfm01-01/#q-2) | **Q2** Cubic Polynomial and Complex Roots - Edexcel IAL FP1 2024 Jun Q2 | FRQ | 2 of 4 parts ((a), (b)) | 6 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7f007fb9-b2c9-43d5-882b-07e2f90fc7cc&question_id=bef06a36-5158-492b-8fe0-527925203b98&source_detail=WFM01%2F01+June+2024) | | [**WFM01/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2024-january-wfm01-01/#q-2) | **Q2** Complex Numbers - Edexcel IAL FP1 2024 Jan Q2 | FRQ | 3 of 4 parts ((a), (b), (c)) | 7 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=047999ba-be44-4186-9989-e90303ba7208&question_id=a87cfa25-f46c-426c-b566-7f91e1218186&source_detail=WFM01%2F01+January+2024) | | [**WFM01/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2023-june-wfm01-01/#q-2) | **Q2** Roots of Quartic Equation - Edexcel IAL FP1 June 2023 Q2 | FRQ | 2 of 3 parts ((a), (b)) | 5 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6fc599f6-ccbd-4e5d-a3b0-6817b21f1a77&question_id=8926b7cb-fc4a-48eb-8660-16fecead826e&source_detail=WFM01%2F01+June+2023) | | [**WFM01/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2023-january-wfm01-01/#q-3) | **Q3** Cubic Polynomials and Argand Diagrams - Edexcel IAL FP1 2023 Jan Q3 | FRQ | 1 of 4 parts ((a)) | 2 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=78a766a5-79be-4c2c-a580-d991ef4b93b3&question_id=df413b2d-5a38-4192-ab7b-6c9ab1614475&source_detail=WFM01%2F01+January+2023) | | [**WFM01/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2022-june-wfm01-01/#q-4) | **Q4** Roots of Quartic Equations - Edexcel FP1 June 2022 Q4 | FRQ | 3 parts ((a), (b), (c)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d3519e9e-3cf8-4e6b-a803-1f8edf1018d7&question_id=e0deb194-73be-4c07-b1aa-0952d9ae8596&source_detail=WFM01%2F01+June+2022) | | [**WFM01/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2022-january-wfm01-01/#q-4) | **Q4** Quartic Equations and Complex Roots - Edexcel IAL FP1 2022 Jan Q4 | FRQ | 4 parts ((a), (b), (c), (d)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1aa44895-59b0-4288-9495-188c947559d2&question_id=a0c74e3c-75c3-479d-99bd-691877237014&source_detail=WFM01%2F01+January+2022) | | [**WFM01/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2021-october-wfm01-01/#q-4) | **Q4** Complex Numbers - Edexcel F1 Oct 2021 Q4 | FRQ | 2 of 3 parts ((a), (b)) | 5 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b8f5d4d1-8843-4d91-ade2-15d0b4737dc5&question_id=041248ad-d52d-474a-a7ee-633984118252&source_detail=WFM01%2F01+October+2021) | | [**WFM01/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2021-january-wfm01-01/#q-2) | **Q2** Complex Conjugate Roots - Edexcel IAL F1 Jan 2021 Q2 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=25ae317d-5980-4a82-8821-69b18a8dae64&question_id=53a25f8d-ce3b-49e4-b1fe-701fa059cbbf&source_detail=WFM01%2F01+January+2021) | | [**WFM01/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2020-october-wfm01-01/#q-3) | **Q3** Complex Numbers - Edexcel IAL FP1 2020 Oct Q3 | FRQ | 2 of 3 parts ((a), (c)) | 7 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0c7d8d6d-dc73-41e3-a31c-d55ca2c8dcc5&question_id=93ddb6fd-e66a-4d43-8620-efdc3fb64ce9&source_detail=WFM01%2F01+October+2020) | | [**WFM01/01** January 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2020-january-wfm01-01/#q-2) | **Q2** Cubic Equations and Complex Roots - Edexcel IAL FP1 2020 Jan Q2 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0da4524e-0872-4b0a-a5bd-bdfdc7956755&question_id=70daf310-7706-40cb-a084-b2783dc7fd8a&source_detail=WFM01%2F01+January+2020) | | [**WFM01/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2019-june-wfm01-01/#q-7) | **Q7** Quartic Equation Roots - Edexcel IAL FP1 2019 Jun Q7 | FRQ | 2 parts ((a), (b)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e5d21089-044b-4c85-84e5-496fc5c1c1a5&question_id=8165d8d6-38ad-4e0e-a631-d831a15cf706&source_detail=WFM01%2F01+June+2019) | | [**WFM01/01** January 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2019-january-wfm01-01/#q-2) | **Q2** Complex cubic equation and roots - Edexcel IAL FP1 Jan 2019 Q2 | FRQ | 2 of 3 parts ((a), (b)) | 4 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c67264ba-b113-431c-b31e-91078d549223&question_id=3c5ad525-f999-478a-a34c-a562ce87ef11&source_detail=WFM01%2F01+January+2019) | | [**WFM01/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2018-june-wfm01-01/#q-5) | **Q5** Quartic Equation and Roots - Edexcel IAL FP1 2018 Jun Q5 | FRQ | 2 of 3 parts ((a), (b)) | 6 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=aeb9b541-dfea-41d4-a361-3c1ae9b66ebc&question_id=ac52b73b-98bf-4de8-bdba-15c64144c309&source_detail=WFM01%2F01+June+2018) | | [**WFM01/01** January 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2018-january-wfm01-01/#q-2) | **Q2** Quartic Equations and Argand Diagrams - Edexcel IAL FP1 2018 Jan Q2 | FRQ | 1 of 2 parts ((a)) | 7 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=44478adf-7b41-4051-88fd-0a0458921d3f&question_id=6fac7e31-256e-42e5-ab0c-c26f812a4a28&source_detail=WFM01%2F01+January+2018) | | [**WFM01/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2017-june-wfm01-01/#q-7) | **Q7** Complex Numbers - Edexcel IAL FP1 June 2017 Q7 | FRQ | 3 parts ((a), (b)(i), (b)(ii)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=98faea0f-6326-45f5-bf2d-fa726bd595c0&question_id=ab26800f-1020-4189-9e0a-8c487a89ec5d&source_detail=WFM01%2F01+June+2017) | | [**WFM01/01** January 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2017-january-wfm01-01/#q-3) | **Q3** Quartic Equation Roots - Edexcel FP1 Jan 2017 Q3 | FRQ | 1 part | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a3dd8783-fd8e-4474-a62d-1fe3b1bcf7cf&question_id=428352d7-4023-4bfa-8da5-8664989aa174&source_detail=WFM01%2F01+January+2017) | | [**WFM01/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2016-june-wfm01-01/#q-8) | **Q8** Quartic Equation Complex Roots - Edexcel FP1 June 2016 Q8 | FRQ | 2 of 3 parts ((a), (b)) | 7 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=622d76c2-e80d-495e-aa82-f04f522f84bf&question_id=da04ec01-6d6a-4b11-abd7-8ca60442a85f&source_detail=WFM01%2F01+June+2016) | | [**WFM01/01** January 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2016-january-wfm01-01/#q-7) | **Q7** Complex Roots of Quartic - Edexcel IAL FP1 2016 Jan Q7 | FRQ | 1 of 2 parts ((a)) | 7 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=298d6be7-3aa2-42a1-82f9-da5f87143957&question_id=e2c693e2-55ae-4c75-bc85-502b2b409a70&source_detail=WFM01%2F01+January+2016) | | [**WFM01/01** January 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2015-january-wfm01-01/#q-1) | **Q1** Complex roots of a quartic equation - Edexcel IAL FP1 Jan 2015 Q1 | FRQ | 1 part | 7 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0179b7fe-9b85-484e-84f5-c2243ed49bc6&question_id=3d342b7a-056b-47e9-8dbe-8d8f7a73f5b1&source_detail=WFM01%2F01+January+2015) | | [**WFM01/01** January 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/2014-january-wfm01-01/#q-4) | **Q4** Quartic Equations and Argand Diagrams - Edexcel IAL FP1 Jan 2014 Q4 | FRQ | 1 of 2 parts ((a)) | 7 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=42df949e-d447-45f6-b206-bcf9adee92f1&question_id=e6ad2ed3-034e-4d4c-87e4-3838f6c66bd5&source_detail=WFM01%2F01+January+2014) | ## Related topic questions in Complex numbers - [1.1 Definition of complex numbers in the form $a+ib$ and $r\cos\theta+i\ r\sin\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-1-definition-of-complex-numbers-in-the-form-a-ib-and-r-cos-theta-i-r-sin-theta/) — 40 question items · 23 papers — 118 marks · 2014–2026 - [1.2 Sum, product and quotient of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-2-sum-product-and-quotient-of-complex-numbers/) — 38 question items · 22 papers — 132 marks · 2014–2026 - [1.3 Geometrical representation of complex numbers in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-3-geometrical-representation-of-complex-numbers-in-the-argand-diagram/) — 30 question items · 24 papers — 61 marks · 2014–2026 - [1.4 Geometrical representation of sums, products and quotients of complex numbers.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-4-geometrical-representation-of-sums-products-and-quotients-of-complex-numbers/) — 3 question items · 1 papers — 5 marks · 2014 - [1.5 Complex solutions of quadratic equations with real coefficients.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-5-complex-solutions-of-quadratic-equations-with-real-coefficients/) — 15 question items · 12 papers — 55 marks · 2014–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 24 question stems cover this subtopic across 24 papers, but only 48 tagged parts and 156 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 2014–2026. 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. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-1-wfm01/complex-numbers/1-6-finding-conjugate-complex-roots-and-or-real-roots-of-a-quartic-equation-with-real/