# Ch 4: Algebra II - Complex and Imaginary Numbers Review: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra II work.
- Identify the complex and imaginary numbers concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra II tutoring solution will benefit any student who is trying to learn complex and imaginary numbers and earn better grades. This resource can help students including those who:

- Struggle with understanding how to add, subtract, multiply or divide complex numbers, use the complex plane, solve quadratics with complex numbers or any other complex and imaginary numbers topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their complex and imaginary numbers unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra II
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about complex and imaginary numbers simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra II tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about complex and imaginary numbers on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Define imaginary numbers.
- Add, subtract, multiply and divide complex numbers.
- Graph complex numbers on the complex plane.
- Solve quadratics that have complex numbers as the solution.

### 1. What is an Imaginary Number?

An imaginary number is a complex number that results from the square root of a negative number. Find out where the concept of imaginary numbers came from, and learn how to solve problems involving complex numbers and imaginary numbers.

### 2. How to Add, Subtract and Multiply Complex Numbers

Complex numbers are a combination of a real number and an imaginary number that follow rules similar to those for regular numbers. Learn how to add, subtract, multiply and divide complex numbers through demonstrations of each.

### 3. How to Divide Complex Numbers

Complex numbers are composed of both real and imaginary numbers and are capable of being divided using conjugates comprised of two binomials that are identical apart from the sign on the second term. Learn more about the definition of conjugates and how to divide complex numbers using complex conjugates and multiplying conjugates.

### 4. How to Graph a Complex Number on the Complex Plane

Complex numbers can be graphed, but use a different system to identify their coordinates that functions similarly to real number graphs. Learn how complex numbers are represented on complex axes and planes as a point on a graph.

### 5. How to Solve Quadratics with Complex Numbers as the Solution

Quadratics, even those with complex number solutions, can be solved using the discriminant, and square roots. Practice this with polynomials, and isolate the variables to solve the equations.

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### Other Chapters

Other chapters within the High School Algebra II: Tutoring Solution course

- Algebra II - Basic Arithmetic Review: Tutoring Solution
- Algebra II - Algebraic Expressions and Equations Review: Tutoring Solution
- Algebra II - Real Numbers: Tutoring Solution
- Algebra II - Exponents and Exponential Expressions Review: Tutoring Solution
- Algebra II - Properties of Functions Review: Tutoring Solution
- Algebra II - Linear Equations Review: Tutoring Solution
- Algebra II - Systems of Linear Equations: Tutoring Solution
- Algebra II - Inequalities Review: Tutoring Solution
- Algebra II - Matrices and Determinants: Tutoring Solution
- Algebra II - Absolute Value Review: Tutoring Solution
- Algebra II - Polynomials: Tutoring Solution
- Algebra II - Factoring: Tutoring Solution
- Algebra II - Graphing and Factoring Quadratic Equations Review: Tutoring Solution
- Algebra II - Rational Expressions: Tutoring Solution
- Algebra II - Graphing and Functions: Tutoring Solution
- Algebra II - Roots and Radical Expressions Review: Tutoring Solution
- Algebra II - Quadratic Equations: Tutoring Solution
- Algebra II - Exponential and Logarithmic Functions: Tutoring Solution
- Algebra II - Conic Sections: Tutoring Solution
- Algebra II - Sequences and Series: Tutoring Solution
- Algebra II - Sets: Tutoring Solution
- Algebra II - Combinatorics: Tutoring Solution
- Algebra II - Calculations, Ratios, Percent & Proportions Review: Tutoring Solution
- Algebra II - Statistics: Tutoring Solution
- Algebra II - Trigonometry: Tutoring Solution