About This Chapter
How It Works:
- Identify the lessons in the Saxon Complex Numbers chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the complex numbers topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Imaginary numbers
- Standard form for complex numbers
- Arithmetic using complex numbers
- Finding complex roots
- Examples of complex conjugates
Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
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. Using the Standard Form for Complex Numbers
The standard form of complex numbers comprises two components: the real part and the imaginary part. Recognize complex numbers in the standard form with examples of use in the four operations: adding, subtracting, multiplying, and dividing.
3. 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.
4. 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.
5. Complex Conjugate: Numbers, Functions & Examples
Complex conjugates, a combination of complex numbers and conjugates, are used when solving certain types of problems. Learn about complex conjugates, their functions, and how to apply them to problems through examples.
6. Finding Complex Roots of Quadratic Equations
There are complex roots of quadratic equations where the root itself is presented as a formula. Learn methods to solve these equations using quadratic graphs and formulas, similar to those containing only a number as the root.
Earning College Credit
Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 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
Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course
- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs