Ch 5: Complex Numbers

About This Chapter

Watch video lessons and learn what you need to know about complex numbers. Also get a chance to do some equations with these numbers. These lessons are just a portion of our course materials.

Complex Numbers - Chapter Summary and Learning Objectives

In these lessons taught by math professionals, you'll get details on how to handle complex numbers when you come across them in an algebraic equation. You'll see examples and practice problems, so you get a detailed look at how to do what you've been taught in the lessons. After watching these lessons, you'll understand:

  • The differences between complex numbers and imaginary numbers
  • How to solve equations using imaginary numbers
  • The process needed to divide complex numbers
  • Conventions required for graphic complex numbers
  • How to determine if your solution is real or complex

Video Objective
What is an Imaginary Number Find out where imaginary numbers came from and why they're important. Get the definition for a complex number and details on patterns that emerge when using imaginary numbers.
How to Add, Subtract and Multiply Complex Numbers Find out the formula for adding complex numbers and how to handle the negative signs when subtracting. Examine the different methods you can use to multiply complex numbers. Learn how multiplying complex numbers is similar to multiplying binomials.
How to Divide Complex Numbers Refresh your knowledge of complex conjugates and find out how to multiply conjugates. Determine how conjugates are used to divide complex numbers.
How to Graph a Complex Number on the Complex Plane Find out how a complex number can represent two things and why it's important. Learn about the real and imaginary axis.
How to Solve Quadratics with Complex Numbers as the Solution Learn how the discriminant is used to solve quadratic equations in standard form. Find out how to solve polynomial problems with the zero product property.

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.