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Polynomial expressions, equations, & functions

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Polynomials introThe parts of polynomial expressionsEvaluating polynomialsSimplifying polynomials
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Adding polynomialsSubtracting polynomialsPolynomial subtractionAdding & subtracting multiple polynomialsAdding polynomials (old)Adding and subtracting polynomials review
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Adding polynomials: two variables (intro)Subtracting polynomials: two variables (intro)Subtracting polynomials: two variablesFinding an error in polynomial subtractionPolynomials reviewAdding and subtracting polynomials with two variables review
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Multiplying monomialsMultiplying monomials to find area: two variablesMultiplying monomials to find areaMultiplying monomials challengeMultiplying monomials review
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Multiplying monomials by polynomials: area modelMultiplying monomials by polynomialsMultiplying monomials by polynomials challengeMultiplying monomials by polynomials review
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Multiplying binomials: area modelMultiplying binomials introMultiplying binomialsMultiplying binomials review
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Special products of the form (x+a)(x-a)Squaring binomials of the form (x+a)²Special products of the form (ax+b)(ax-b)Squaring binomials of the form (ax+b)²Special products of binomials: two variablesMore examples of special productsSquaring a binomial (old)Binomial special products review
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Multiplying binomials by polynomialsMultiplying binomials by polynomials: area modelMultiplying binomials by polynomials challengeMultiplying binomials by polynomials reviewMultiplying binomials by polynomials (old)Multiplying binomials with radicals (old)
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Polynomial multiplication word problemPolynomial word problem: rectangle and circle areaPolynomial word problem: total value of billsPolynomial word problem: area of a window
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Intro to factors & divisibilityIntro to factors & divisibility
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Which monomial factorization is correct?Factoring monomialsWorked example: finding the missing monomial factorWorked example: finding missing monomial side in area modelGreatest common factor of monomialsGreatest common factor of monomials
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Factoring with the distributive propertyFactoring polynomials by taking a common factorTaking common factor from binomialTaking common factor from trinomialTaking common factor: area modelFactoring polynomials: common binomial factorFactoring by common factor reviewFactoring polynomials: common factor (old)Factoring polynomials: common factor (old)
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Worked example: evaluating expressions using structureWorked example: evaluating expressions using structure (more examples)
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Factoring quadratics as (x+a)(x+b)Factoring quadratics: leading coefficient = 1Factoring quadratics as (x+a)(x+b) (example 2)More examples of factoring quadratics as (x+a)(x+b)Factoring simple quadratics review
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Intro to groupingFactoring by groupingFactoring quadratics by groupingFactoring quadratics: leading coefficient ≠ 1
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Factoring quadratics: common factor + groupingFactoring quadratics: negative common factor + groupingFactoring two-variable quadraticsFactoring two-variable quadratics: rearrangingFactoring two-variable quadratics: groupingFactoring quadratics with common factor (old)
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Difference of squares introFactoring quadratics: Difference of squaresFactoring difference of squares: leading coefficient ≠ 1Factoring difference of squares: analyzing factorizationFactoring difference of squares: missing valuesFactoring difference of squares: shared factors
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Perfect square factorization introFactoring quadratics: Perfect squaresFactoring perfect squaresIdentifying perfect square formFactoring higher-degree polynomials: Common factorFactoring perfect squares: negative common factorFactoring perfect squares: missing valuesFactoring perfect squares: shared factors
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Strategy in factoring quadratics (part 1 of 2)Strategy in factoring quadratics (part 2 of 2)Factoring quadratics in any form
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Factoring using the perfect square patternFactoring using the difference of squares patternFactoring difference of squares: two variables (example 2)
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Intro to long division of polynomialsDividing polynomials: long division
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Intro to polynomial synthetic divisionDividing polynomials: synthetic divisionWhy synthetic division works
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Divide polynomials by x (with remainders)Divide polynomials by monomials (with remainders)Dividing polynomials with remainders
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Intro to the Polynomial Remainder TheoremRemainder theorem: finding remainder from equationRemainder theorem: checking factorsRemainder theorem: finding coefficientsProof of the Polynomial Remainder Theorem
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Intro to the Binomial TheoremPascal's triangle and binomial expansionExpanding binomialsExpanding binomials w/o Pascal's triangle
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Binomial expansion & combinatoricsPascal's triangle & combinatoricsBinomial expansion & combinatorics (old)
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Factoring higher-degree polynomialsFactoring sum of cubesFactoring difference of cubes
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Analyzing polynomial identities
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Complex numbers & sum of squares factorizationFactoring sum of squares
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Solving quadratic equations: complex roots
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The Fundamental theorem of AlgebraQuadratics & the Fundamental Theorem of Algebra Number of possible real roots of a polynomial
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Finding zeros of polynomials (1 of 2)Finding zeros of polynomials (2 of 2)Finding zeros of polynomials (example 2)
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Zeros of polynomials & their graphsZeros of polynomials & their graphsPositive & negative intervals of polynomials
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Intro to end behavior of polynomialsEnd behavior of polynomialsEnd behavior of functions & their graphs
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Graphs of polynomialsGraphs of polynomials: Challenge problems
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Function symmetry introductionFunction symmetry introductionEven and odd functions: GraphsEven/odd functions & numbers
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Even & odd polynomialsSymmetry of polynomials
Test your understanding of Polynomial expressions, equations, & functions with these 46 questions.

About this unit

This topic covers: - Adding, subtracting, and multiplying polynomial expressions - Factoring polynomial expressions as the product of linear factors - Dividing polynomial expressions - Proving polynomials identities - Solving polynomial equations & finding the zeros of polynomial functions - Graphing polynomial functions - Symmetry of functions