1. Complex Numbers
Any number in form a+bi, where a and b are real numbers and i is imaginary.
What is an imaginary number?

2. Definition of imaginary numbers:

3. Simplify complex numbers
Remember 28

5. Answer: -i

6. Try these problems:
-15 i

7. When adding or subtracting complex numbers, combine like terms.

8. Try these on your own

9. ANSWERS:

10. Multiplying complex numbers.
To multiply complex numbers, you use the same procedure as multiplying polynomials.

11. Examples to do together:

12. Lets do another example.F O I L
Next

13. Answer:
21-i
Now try these:

14. Next

15. Answers:

16. Conjugates
In order to simplify a fractional complex number, use a conjugate.
What is a conjugate?

17. are said to be conjugates of each other.

18. Lets do an example:
Rationalize using the conjugate
Next

19. Reduce the fraction

20. Lets do another example
Next

21. Try these problems.