A2.A.2.1
Factor polynomial expressions including, but not limited to, trinomials, differences of squares, sum and difference of cubes, and factoring by grouping, using a variety of tools and strategies.
Example Problems
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Khan Academy ResourcesSolving quadratics by completing the squareSolving quadratics by factoring reviewFactoring polynomials by taking a common factorFactoring quadratics in any formCompleting the square reviewFactoring quadratics: Difference of squaresFactoring quadratics: Perfect squaresFactoring by groupingFactoring quadratics: leading coefficient = 1Factoring simple quadratics reviewFactoring quadratics: leading coefficient ≠ 1Solving quadratics by factoringQuadratics by factoring (intro)Completing the square (intermediate)Difference of squaresFactoring quadratics introDifference of squares introQuadratics by factoringFactor polynomials using structureFactor quadratics by groupingQuadratic word problems (standard form)Solve equations by completing the squarePolynomial identitiesIdentify quadratic patternsFactor polynomials: common factorCompleting the square (intro)Factor higher degree polynomialsPerfect squares introFactorization with substitutionFactor using polynomial divisionFactoring quadratics with a common factorPerfect squaresGCF factoring introductionFactoring quadratics as (x+a)(x+b) (example 2)Factoring perfect squaresFactoring using the difference of squares patternQuadratic equations word problem: triangle dimensionsWorked example: completing the square (leading coefficient ≠ 1)More examples of factoring quadratics as (x+a)(x+b)Intro to groupingCompleting the squareTaking common factor from trinomialFactoring quadratics by groupingFactoring quadratics: common factor + groupingFactoring quadratics: negative common factor + groupingFactoring perfect squares: negative common factorFactoring using the perfect square patternSolving quadratics by factoringQuadratic equations word problem: box dimensionsWorked example: Completing the square (intro)Solving quadratics by completing the square: no solutionFactoring perfect squares: missing valuesFactoring using polynomial divisionPerfect square factorization introFactoring quadratics as (x+a)(x+b)Factoring higher-degree polynomials: Common factorSolve by completing the square: Non-integer solutionsIdentifying perfect square formFactoring using polynomial division: missing termSolve by completing the square: Integer solutionsTaking common factor: area modelLeast common multiple of polynomialsFactoring difference of squares: shared factorsFactoring perfect squares: shared factorsDifference of squares introStrategy in factoring quadratics (part 1 of 2)Factoring difference of squares: analyzing factorizationFactoring difference of squares: leading coefficient ≠ 1Strategy in factoring quadratics (part 2 of 2)Identifying quadratic patternsSolving quadratics by factoring: leading coefficient ≠ 1Factoring quadratics with a common factorTaking common factor from binomialFactoring sum of squaresFactoring higher degree polynomialsFactoring completely with a common factorIntroduction to factoring higher degree polynomialsFactorization with substitutionWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square
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