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Simon’s Favorite Factoring Trick — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Simon’s Favorite Factoring Trick — 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 problems are used with official legal permission of the Mathematical Association of America (MAA).

Filter by difficulty

These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.

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AMC 10

2004 AMC 10B Problem 11 • 2008 AMC 10B Problem 23 • 2015 AMC 10A Problem 15 • 2015 AMC 10A Problem 20 • 2015 AMC 10A Problem 23 • 2015 AMC 10B Problem 25 • 2018 AMC 10B Problem 23 • 2021 AMC 10B Spring Problem 11

AMC 12

2001 AMC 12 Problem 21 • 2007 AMC 12B Problem 23 • 2008 AMC 12B Problem 16 • 2015 AMC 12A Problem 10 • 2015 AMC 12A Problem 18 • 2021 AMC 12B Spring Problem 10

AIME

1998 AIME Problem 14 • 2015 AIME II Problem 8 • 2016 AIME I Problem 7 • 2026 AIME I Problem 4

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalityarithmetic sequencearithmetico-geometric seriesbinomial theoremcalculusCauchy-Schwarz Inequalitycompleting the squarecomplex numbercustom operationDe Moivre’s Theoremdeterminantdifference of squaresfactoringFibonaccifloor and ceiling functionsfunctionfunctional equationgeometric sequenceinequalitylinear equationlogarithmmatrixmixtureNewton’s Sumspartial fractionspolynomialquadraticradicalrational equationrationalizing denominatorrecursionroots of unityslopesubstitutionsum and difference of cubessum of first n cubessum of first n odd numberssum of first n squaressummationsymmetry (algebra)system of equationstelescopingVieta’s Formulaszero product property