Homework WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

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Homework WB p.3-4 #36-54 (evens or odds)

Transcript of Homework WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

Page 1: Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

Homework

WB p.3-4 #36-54 (evens or odds)

Page 2: Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

Chapter 1 Review

Page 3: Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.

The Complex Numbers

Real numbers:

Imaginary numbers:

Pure imaginary numbers:

is the imaginary unit

Who remembers what equals? Think about this: What makes an imaginary number “imaginary”?

What about ? Let’s keep going! Notice a pattern?

All radical properties are the same in the imaginary world!

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Radicals & Imaginary Numbers

Example #1:

Example #2:

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Adding and Subtracting Complex Numbers

Example #1:

Example #2:

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More conjugates!

How do we find the complex conjugate of the following?

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Same rules as radicals- we never, ever, ever leave an imaginary numbers in the denominator! Multiply by the conjugate or !

Simplify the following:

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Quadratic Functions

How many solutions do quadratics have (always!)?

How do we solve quadratics?

4 ways:

-Quadratic Formula

-Factoring

-Completing the Square

-Graphing (not often)

***GOLDEN RULE OF SOLVING QUADRATICS: There must be a 0 on one side of the equation!!

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Who remembers the quadratic formula?!

Let’s solve this using the quadratic formula- just substitute your values for a, b, and c!

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Another one- this one may be more “complex”

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Factoring

This is the opposite of distributing.

***Make sure you first factor out the common factors!

Ex)

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Another one- factor this!