Lessons 1-2: No content yetIntro to long division of polynomialsDividing polynomials: long divisionDivide polynomials by x (with remainders)Divide polynomials by monomials (with remainders)Dividing polynomials with remaindersLessons 7-11: No content yet

Factoring quadratics: common factor + groupingFactoring quadratics: negative common factor + groupingFactoring two-variable quadraticsFactoring two-variable quadratics: rearrangingFactoring two-variable quadratics: groupingFactoring using the perfect square patternFactoring using the difference of squares patternFactoring difference of squares: two variables (example 2)Factoring higher-degree polynomialsFactoring sum of cubesFactoring difference of cubesFinding zeros of polynomials (1 of 2)Finding zeros of polynomials (2 of 2)Finding zeros of polynomials (example 2)

Zeros of polynomials & their graphsZeros of polynomials & their graphsPositive & negative intervals of polynomialsIntro to end behavior of polynomialsEnd behavior of polynomialsEnd behavior of functions & their graphsGraphs of polynomialsGraphs of polynomials: Challenge problems

Function symmetry introductionFunction symmetry introductionEven and odd functions: GraphsEven/odd functions & numbersEven & odd polynomialsSymmetry of polynomials

Lessons 16-17: No content yetIntro to the Polynomial Remainder TheoremRemainder theorem: finding remainder from equationRemainder theorem: checking factorsRemainder theorem: finding coefficientsProof of the Polynomial Remainder TheoremLessons 20-21: No content yet

Intro to rational expression simplificationIntro to rational expressionsIntro to simplifying rational expressionsSimplifying rational expressions: common monomial factorsSimplifying rational expressions: common binomial factorsSimplifying rational expressions: opposite common binomial factorsSimplifying rational expressions (advanced)Simplifying rational expressions: groupingSimplifying rational expressions: higher degree termsSimplifying rational expressions: two variablesLesson 23: No content yet

Multiplying & dividing rational expressions: monomialsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressions: multiple variablesDividing rational expressions: unknown expression

Adding & subtracting rational expressions: like denominatorsIntro to adding & subtracting rational expressionsIntro to adding rational expressions with unlike denominatorsAdding rational expression: unlike denominatorsSubtracting rational expressions: unlike denominatorsLeast common multipleLeast common multiple: repeating factorsSubtracting rational expressions: factored denominatorsLeast common multiple of polynomialsAdding & subtracting rational expressions (advanced)Subtracting rational expressionsNested fractions

Rational equations introEquations with one rational expression (advanced)Equations with rational expressionsEquations with rational expressions (example 2)Rational equations word problem: combined ratesRational equations word problem: combined rates (example 2)Rational equations word problem: eliminating solutions

Intro to square-root equations & extraneous solutionsIntro to solving square-root equationsSolving square-root equationsSolving square-root equations: one solutionSolving square-root equations: two solutionsSolving square-root equations: no solutionSquare-root equations introEquation that has a specific extraneous solutionExtraneous solutions of radical equationsSolving cube-root equations

Intro to linear systems with 3 variablesSolving linear systems with 3 variablesSolving linear systems with 3 variables: no solution3-variable linear system word problem

Quadratic systems: graphical solutionQuadratic system with no solutionsQuadratic systems: both variables are squaredQuadratic systems: a line and a circle

Interpreting equations graphicallyInterpreting equations graphically (example 2)Solving equations graphically (1 of 2)Solving equations graphically (2 of 2)Solving equations graphically

Intro to focus & directrixEquation of a parabola from focus & directrixFocus & directrix of a parabola from equation Parabola focus & directrix review

Intro to the imaginary numbersIntro to the imaginary numbersSimplifying roots of negative numbersi as the principal root of -1Intro to complex numbersPlotting numbers on the complex planeThe complex plane

Adding complex numbersSubtracting complex numbersMultiplying complex numbersMultiplying complex numbersPowers of the imaginary unitPowers of the imaginary unit

Solving quadratic equations: complex rootsComplex numbers & sum of squares factorizationFactoring sum of squaresThe Fundamental theorem of AlgebraQuadratics & the Fundamental Theorem of Algebra Number of possible real roots of a polynomial