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Algebra II

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Polynomial arithmetic

Intro to polynomials: Polynomial arithmeticAverage rate of change of polynomials: Polynomial arithmeticAdding and subtracting polynomials: Polynomial arithmetic
Multiplying monomials by polynomials: Polynomial arithmeticMultiplying binomials by polynomials: Polynomial arithmeticSpecial products of polynomials: Polynomial arithmetic

Complex numbers

The imaginary unit i: Complex numbersComplex numbers introduction: Complex numbersThe complex plane: Complex numbers
Adding and subtracting complex numbers: Complex numbersMultiplying complex numbers: Complex numbersQuadratic equations with complex solutions: Complex numbers

Polynomial factorization

Factoring monomials: Polynomial factorizationGreatest common factor: Polynomial factorizationTaking common factors: Polynomial factorization
Factoring higher degree polynomials: Polynomial factorizationFactoring using structure: Polynomial factorizationPolynomial identities: Polynomial factorizationGeometric series: Polynomial factorization

Polynomial division

Dividing polynomials by x: Polynomial divisionDividing quadratics by linear factors: Polynomial divisionDividing polynomials by linear factors: Polynomial division
Polynomial Remainder Theorem: Polynomial division

Polynomial graphs

Zeros of polynomials: Polynomial graphsPositive and negative intervals of polynomials: Polynomial graphsEnd behavior of polynomials: Polynomial graphs
Putting it all together: Polynomial graphs

Rational exponents and radicals

Rational exponents: Rational exponents and radicalsProperties of exponents (rational exponents): Rational exponents and radicalsEvaluating exponents & radicals: Rational exponents and radicals
Equivalent forms of exponential expressions: Rational exponents and radicalsSolving exponential equations using properties of exponents: Rational exponents and radicals

Exponential models

Interpreting the rate of change of exponential models: Exponential modelsConstructing exponential models according to rate of change: Exponential modelsAdvanced interpretation of exponential models: Exponential models

Logarithms

Introduction to logarithms: LogarithmsThe constant e and the natural logarithm: LogarithmsProperties of logarithms: Logarithms
The change of base formula for logarithms: LogarithmsSolving exponential equations with logarithms: LogarithmsSolving exponential models: Logarithms

Transformations of functions

Shifting functions: Transformations of functionsReflecting functions: Transformations of functionsSymmetry of functions: Transformations of functionsScaling functions: Transformations of functions
Putting it all together: Transformations of functionsGraphs of square and cube root functions: Transformations of functionsGraphs of exponential functions: Transformations of functionsGraphs of logarithmic functions: Transformations of functions

Equations

Rational equations: EquationsSquare-root equations: EquationsExtraneous solutions: Equations
Cube-root equations: EquationsQuadratic systems: EquationsSolving equations by graphing: Equations

Trigonometry

Unit circle introduction: TrigonometryRadians: TrigonometryThe Pythagorean identity: TrigonometryTrigonometric values of special angles: Trigonometry
Graphs of sin(x), cos(x), and tan(x): TrigonometryAmplitude, midline and period: TrigonometryTransforming sinusoidal graphs: TrigonometryGraphing sinusoidal functions: TrigonometrySinusoidal models: Trigonometry

Modeling

Modeling with function combination: ModelingInterpreting features of functions: ModelingManipulating formulas: Modeling
Modeling with equations and inequalities: Modeling

Rational functions

Cancelling common factors: Rational functionsEnd behavior of rational functions: Rational functionsDiscontinuities of rational functions: Rational functionsGraphs of rational functions: Rational functions
Modeling with rational functions: Rational functionsMultiplying and dividing rational expressions: Rational functionsAdding and subtracting rational expressions intro: Rational functionsAdding and subtracting rational expressions (factored): Rational functionsAdding and subtracting rational expressions (not factored): Rational functions
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