# Ch 4: Complex Numbers & the Complex Plane

Use these video lessons and quizzes to help you solve mathematical equations including complex numbers. Learn to add, subtract, multiply, and divide complex numbers and graph the results on the complex plane.

## Complex Numbers & the Complex Plane - Chapter Summary

Lessons in this chapter can introduce you to the imaginary numbers used to represent negative square roots, along with the complex numbers that result when these figures are added or subtracted from a real number. Once you've got a grasp of these concepts, you can learn how to solve quadratic equations, including complex numbers and add, subtract or multiply complex numbers by combining like terms and using the correct order of operations.

Delve further into the lessons to find out how the complex conjugate can be used to divide complex numbers and determine the multiplicative inverse. You can even learn how to plot the results as vectors on the complex plane, find the distance between points, convert between polar and rectangular coordinates, and represent the solution to addition, subtraction and multiplication problems. This chapter is designed to teach you the following concepts:

• Properties of complex numbers
• Complex number operations
• Graphic representations of complex numbers

Instructors in this chapter's video lessons use sample problems and illustrations to walk you through the mathematical terms and concepts. There are also video tags that allow you to jump ahead or go back to key points if you find that you need to revisit certain problem-solving steps. If you need extra practice, there are corresponding self-assessment quizzes that include sample problems and solutions.

13 Lessons in Chapter 4: Complex Numbers & the Complex Plane
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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