A1.5
Use the structure of an expression to identify ways to rewrite it.
Example Problems
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Khan Academy ResourcesIntro to factors & divisibilityFactoring 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)Interpreting expressions with multiple variablesFactor monomialsSolve equations using structurePolynomial special products: difference of squaresIdentify quadratic patternsFactor polynomials: common factorPolynomials introFactor higher degree polynomialsEquivalent forms of exponential expressionsPerfect squares introFactorization with substitutionZeros of polynomials (factored form)Perfect squaresGCF factoring introductionThe parts of polynomial expressionsFactoring 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 factorInterpreting exponential expression word problemInterpreting expressions with multiple variables: CylinderIdentifying perfect square formPolynomials introSolving quadratics using structureWorked example: finding missing monomial side in area modelTaking common factor: area modelFactoring difference of squares: shared factorsAnalyzing structure word problem: pet store (1 of 2)Factoring 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 patternsStructure in rational expressionInterpreting expressions with multiple variables: ResistorsWorked example: finding the missing monomial factorTaking common factor from binomialFactoring higher degree polynomialsPolynomial special products: perfect squareFactorization with substitutionAnalyzing structure word problem: pet store (2 of 2)Reasoning about unknown variables: divisibilityIntro to factors & divisibilityReasoning about unknown variablesWorked example: Rewriting expressions by completing the square
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