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!

Radicals & Imaginary Numbers

Example #1:

Example #2:

Adding and Subtracting Complex Numbers

Example #1:

Example #2:

More conjugates!

How do we find the complex conjugate of the following?

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

Simplify the following:

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!!

Who remembers the quadratic formula?!

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

Another one- this one may be more “complex”

Factoring

This is the opposite of distributing.

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

Ex)

Another one- factor this!