A2:A-SSE.A.2
Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).
Example Problems
Integrate:
Factor completely:
Factor completely:
Khan Academy ResourcesFactoring monomialsFactoring polynomials by taking a common factorFactoring quadratics in any formFactoring quadratics: Difference of squaresFactoring quadratics: Perfect squaresFactoring by groupingFactoring quadratics: leading coefficient = 1Factoring quadratics: leading coefficient ≠ 1Difference of squaresDifference of squares introFactor polynomials using structurePolynomial special products: perfect squareZeros of polynomials (with factoring)Factor monomialsSolve equations using structurePolynomial special products: difference of squaresIdentify quadratic patternsFactor polynomials: common factorFactor higher degree polynomialsEquivalent forms of exponential expressionsPerfect squares introFactorization with substitutionZeros of polynomials (factored form)Perfect squaresGCF factoring introductionFactoring perfect squaresFactoring using the difference of squares patternIntro to groupingTaking common factor from trinomialFactoring quadratics: common factor + groupingFactoring quadratics: negative common factor + groupingFactoring perfect squares: negative common factorFactoring using the perfect square patternFactoring perfect squares: missing valuesPolynomial special products: difference of squaresPerfect square factorization introFactoring quadratics as (x+a)(x+b)Factoring higher-degree polynomials: Common factorIdentifying perfect square formSolving quadratics using structureWorked example: finding missing monomial side in area modelTaking common factor: area modelFactoring 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)Which monomial factorization is correct?Identifying quadratic patternsFactoring with the distributive propertyWorked example: finding the missing monomial factorTaking common factor from binomialFactoring higher degree polynomialsPolynomial special products: perfect squareFactorization with substitutionReasoning about unknown variables: divisibilityReasoning about unknown variables
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