Polynomial — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses polynomial — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 10

2010 AMC 10B Problem 25 · 2017 AMC 10A Problem 24 · 2020 AMC 10A Problem 17 · 2021 AMC 10A Spring Problem 14 · 2022 AMC 10A Problem 16 · 2022 AMC 10B Problem 21 · 2023 AMC 10A Problem 21 · 2023 AMC 10B Problem 12 · 2025 AMC 10A Problem 7 · 2025 AMC 10A Problem 9 · 2025 AMC 10B Problem 10

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalityarithmetic sequencebinomial theoremcalculusCauchy-Schwarz Inequalitycompleting the squarecomplex numbercustom operationDe Moivre’s Theoremdeterminantdifference of squaresfactoringFibonaccifloor and ceiling functionsfunctionfunctional equationgeometric sequenceinequalitylinear equationlogarithmmatrixmixtureNewton’s Sumspartial fractionsquadraticradicalrational equationrationalizing denominatorrecursionroots of unitySimon’s Favorite Factoring Trickslopesubstitutionsum and difference of cubessum of first n cubessum of first n odd numberssum of first n squaressummationsymmetry (algebra)system of equationstelescopingVieta’s Formulas