#### Algebra 2

### Course Description

### Polynomial arithmetic

Intro to polynomial

Average rate of change polynomials

Adding and subtracting polynomials

multiplying monomial by polynomial

multiplying binomials by polynomial

special product of polynomial

### Complex numbers

The imaginary unit i

Complex number introduction

The complex plane

Adding and Subtracting complex number

Multiple complex number

Quadratic equation with complex solution

### Polynomial factorization

Dividing polynomial by x

Dividing quadratics by linear factor

Dividing polynomial by linear factor

polynomial Remainder Theroem

### Polynomial graphs

Zero of polynomial

Positive and negative intervals of polynomials

End behavior of polynomials

putting it together

### Rational exponents and radicals

Rational exponent

Properties of exponent (rational exponent )

Evaluation exponent & radical

Equivalent of exponent expression

solving exponential equation using properties of exponent

### Exponential models

Interpreting the rate change of exponential model

Construction exponential model according to rate of change

Advanced interpreting of exponential

### Logarithms

Introduction to logarithms

The constant e and the natural logarithms

Properties of logarithms

The change of base formula for logarithms

solving exponential equation with logarithms

solving exponential model

### Transformations of functions

Shifting function

Reflecting function

Symmetry of function

Scalling function

putting it all together

Graphs of square and cube root function

Graphs of logarithms function

### Equations

Rational equation

Square root -Equation

Extraneous solution

Cube root -Equation

Quadratic equation

solving Equation by graphing

Trigonometry

unit circle Introduction

Radians

The pythagroean theorem

Trigonometric value of special angle

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

Amplitude middle and period

Transforming sinusodial graph

Graphic sinusoidal function

sinusoidal function

### Modeling

Modeling with function combination

Interpreting feature of function

Manipulating formulas

Modeling with two variable

Modeling with multiple variable

### Rational functions

cancelling common factor

End behavior of rational function

Discantinuities of rational

function graphs of rational function

modeling with rational function

multiplying with rational function

multiplying and dividing rational

expression adding and subtracting rational expression

adding and subtracting rational expression intro(factored)

adding and subtracting rational expression (factored)

adding and subtracting rational expression (not factored)

### COURCES CHALLENGES

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.

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