AMC polynomials & factoring problems
Quadratics, polynomial roots, Vieta's formulas and the standard factoring identities.
270 problems in the archive use these ideas — 107 from the AMC 10 and 163 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
60 most recent problems
Newest contests first. Every problem opens with its answer choices, hints and a worked solution.
- 2025 AMC 10A · Problem 7
- 2025 AMC 10A · Problem 9
- 2025 AMC 10A · Problem 15
- 2025 AMC 10A · Problem 18
- 2025 AMC 10A · Problem 20
- 2025 AMC 10A · Problem 24
- 2025 AMC 10B · Problem 6
- 2025 AMC 10B · Problem 10
- 2025 AMC 10B · Problem 15
- 2025 AMC 12A · Problem 10
- 2025 AMC 12A · Problem 12
- 2025 AMC 12A · Problem 17
- 2025 AMC 12A · Problem 19
- 2025 AMC 12A · Problem 21
- 2025 AMC 12A · Problem 23
- 2025 AMC 12A · Problem 25
- 2025 AMC 12B · Problem 8
- 2024 AMC 10A · Problem 11
- 2024 AMC 10A · Problem 15
- 2024 AMC 10A · Problem 17
- 2024 AMC 10A · Problem 23
- 2024 AMC 10B · Problem 7
- 2024 AMC 12A · Problem 9
- 2024 AMC 12A · Problem 15
- 2024 AMC 12A · Problem 17
- 2024 AMC 12A · Problem 23
- 2024 AMC 12B · Problem 13
- 2024 AMC 12B · Problem 17
- 2023 AMC 10A · Problem 11
- 2023 AMC 10A · Problem 21
- 2023 AMC 10A · Problem 23
- 2023 AMC 10B · Problem 9
- 2023 AMC 10B · Problem 12
- 2023 AMC 12A · Problem 12
- 2023 AMC 12A · Problem 19
- 2023 AMC 12A · Problem 25
- 2023 AMC 12B · Problem 6
- 2023 AMC 12B · Problem 14
- 2022 AMC 10A · Problem 11
- 2022 AMC 10A · Problem 16
- 2022 AMC 10B · Problem 5
- 2022 AMC 10B · Problem 6
- 2022 AMC 10B · Problem 7
- 2022 AMC 10B · Problem 13
- 2022 AMC 10B · Problem 17
- 2022 AMC 10B · Problem 21
- 2022 AMC 12A · Problem 14
- 2022 AMC 12A · Problem 15
- 2022 AMC 12A · Problem 21
- 2022 AMC 12B · Problem 3
- 2022 AMC 12B · Problem 4
- 2022 AMC 12B · Problem 8
- 2022 AMC 12B · Problem 16
- 2022 AMC 12B · Problem 20
- 2021 AMC 10A · Problem 10
- 2021 AMC 10A · Problem 14
- 2021 AMC 10A · Problem 22
- 2021 AMC 10B · Problem 11
- 2021 Fall AMC 10A · Problem 20
- 2021 Fall AMC 10A · Problem 25
Use Start polynomials & factoring practice above to keep going through the remaining 210, or browse them by contest in the AMC 12 and AMC 10 archives.
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