Warm up – Simplify.

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Presentation transcript:

Warm up – Simplify

Questions over hw?

Skills Check 2x – 3 2x + 1 Perform the indicated operation. Find the area & perimeter of the rectangle. 3. Perimeter = ____ 4. Area = ____ 2x – 3 2x + 1

Imaginary Numbers

You CAN have a negative under the radical You CAN have a negative under the radical. You will bring out an “i“ (imaginary).

Powers of i (The i Chart)

“I one, I one!!” Negatives in the middle. Reference

Simplify

Complex Number Standard Form (add this to your notes)

Add and Subtract Complex Numbers

Add/Subt Complex Numbers Treat the i’s like variables Combine like terms Simplify (no powers of i higher than 1 are allowed) Answer in standard form a + bi

Simplify

Simplify

Simplify

Simplify

Simplify

Multiplying Complex Numbers (no powers of i higher than 1 are allowed in your answer)

Multiplying Complex Numbers

Multiplying Complex Numbers

Multiplying Complex Numbers

Dividing Complex Numbers (no powers of i in the denominator are allowed in your answer)

What is a Conjugate? Example: (2 – 4i)

17. Dividing – Multiply top & bottom by the Conjugate

18. Dividing – Multiply top & bottom by the Conjugate

CW/HW Complex Numbers Practice Worksheet