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Algebra 1

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Algebra 2 videos

Explore advanced algebra concepts including polynomial functions, complex numbers, matrices, and logarithms, sharpening problem-solving skills and mathematical reasoning for deeper understanding and application.

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Polynomial arithmetic

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Intro to polynomials

Average rate of change of polynomials

Adding and subtracting polynomials

Multiplying monomials by polynomials

Multiplying binomials by polynomials

Special products of polynomials

Complex numbers

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The imaginary unit i

Complex numbers introduction

The complex plane

Adding and subtracting complex numbers

Multiplying complex numbers

Quadratic equations with complex solutions

Polynomial factorization

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Factoring monomials

Greatest common factor

Taking common factors

Factoring higher degree polynomials

Factoring using structure

Polynomial identities

Geometric series

Polynomial division

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Dividing polynomials by x

Dividing quadratics by linear factors

Dividing polynomials by linear factors

Polynomial Remainder Theorem

Polynomial graphs

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Zeros of polynomials

Positive and negative intervals of polynomials

End behavior of polynomials

Putting it all together

Rational exponents and radicals

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Rational exponents

Properties of exponents (rational exponents)

Evaluating exponents & radicals

Equivalent forms of exponential expressions

Solving exponential equations using properties of exponents

Exponential models

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Interpreting the rate of change of exponential models

Constructing exponential models according to rate of change

Advanced interpretation of exponential models

Logarithms

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Introduction to logarithms

The constant e and the natural logarithm

Properties of logarithms

The change of base formula for logarithms

Solving exponential equations with logarithms

Solving exponential models

Transformations of functions

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Shifting functions

Reflecting functions

Symmetry of functions

Scaling functions

Putting it all together

Graphs of square and cube root functions

Graphs of exponential functions

Graphs of logarithmic functions

Equations

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Rational equations

Square-root equations

Extraneous solutions

Cube-root equations

Quadratic systems

Solving equations by graphing

Trigonometry

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Unit circle introduction

Radians

The Pythagorean identity

Trigonometric values of special angles

Graphs of sin(x), cos(x), and tan(x)

Amplitude, midline and period

Transforming sinusoidal graphs

Graphing sinusoidal functions

Sinusoidal models

Modeling

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Modeling with function combination

Interpreting features of functions

Manipulating formulas

Modeling with two variables

Modeling with multiple variables

Algebra 2 videos

Polynomial arithmetic

Complex numbers

Polynomial factorization

Polynomial division

Polynomial graphs

Rational exponents and radicals

Exponential models

Logarithms

Transformations of functions

Equations

Trigonometry

Modeling

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