AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Complex numbers

Wait just a minute here...

In order to access these resources, you will need to sign in or register for the website (takes literally 1 minute!) and contribute 10 documents to the CourseNotes library. Until you contribute 10 documents, you'll only be able to view the titles and some teaser text of the uploaded documents. There are 100,000+ essays, DBQs, study guides, practice tests, etc. that are only available to members that contribute. So what are you waiting for?

Get started right now!

Subject: 
Algebra
Rating: 
0
No votes yet

Complex numbers were invented to enhance the set of real numbers and make it possible that every quadratic equation has a root. Arithmetic operations of addition, subtraction, multiplication and division were introduced in the set of complex numbers such a way that they agree and extend those operations over real numbers. A wonderful geometric presentation of complex numbers does exist, as well as a nice geometric interpretation of arithmetic operations. Even raising the power and taking roots is possible over the complex domain. A remarkable fact is that every polynomial equation with complex coefficients has a complex root. Moreover, every polynomial equation has exactly n roots, where n is the equation degree, and all these roots are complex numbers.

Wait just a minute here...

In order to access these resources, you will need to sign in or register for the website (takes literally 1 minute!) and contribute 10 documents to the Course-Notes.Org library. Until you contribute 10 documents, you'll only be able to view the titles of the uploaded documents.

  • Unlock Course-Notes.org

    Gain access to members only, premium content that includes past essays, DBQs, practice tests, term papers, homework assignments and other vital resources for your success!

  • Interact with other members

    Receive feedback from the Course-Notes.Org community on your homework assignments

  • Participation = Points

    Earn points for by contributing documents to the library, helping other members, writing informative blog posts, and voting in polls!

There are over 10,000 documents that have been added to the Members Only section that you won't find anywhere on this site or on the interwebs, for that matter. In order to access these resources, you will need to register for the website (takes literally 1 minute!) and earn 100 cnote$ (use the table above to figure that out). Until you contribute earn 100 cnote$, you'll only be able to view the titles of the uploaded documents and some teaser text.

Get started right now!

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!