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Warm up

Warm up. Graph the equation. Recall: Definition of imaginary numbers:. Simplify each expression. Complex Numbers. Any number in form a+b i , where a and b are real numbers and i is imaginary. Remember . Simplify complex numbers. 28. Answer: - i. Try these problems:. -15. i.

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Warm up

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  1. Warm up Graph the equation

  2. Recall: Definition of imaginary numbers:

  3. Simplify each expression.

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

  5. Remember Simplify complex numbers 28

  6. Answer: -i

  7. Try these problems: -15 i

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

  9. Try these on your own

  10. ANSWERS:

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

  12. Examples to do together:

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

  14. 21-i Answer: Now try these:

  15. Next

  16. Answers:

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

  18. are said to be conjugates of each other.

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

  20. Reduce the fraction

  21. Lets do another example Next

  22. Try these problems.

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