1. Warm Up
Factor the following expressions completely:
14a2 + 7a
y2 + 7y + 12
x4 – 81

2. Unit 5 - Day 1 Simplifying Rational Expressions
Objective:
SWBAT simplify
a rational expression.

3. What is a rational number?
Review
What is a rational number?
(Feel free to ask google)
Examples:

4. A fraction in which the numerator and/or denominator are polynomials.
Rational Expressions
A fraction in which the numerator and/or denominator are polynomials.
Examples:
* * * Note: Denominators cannot be zero. * * *

5. How do we simplify a rational expression?
Review
How do we simplify a rational expression?
Example:

6. Simplifying Rational Expressions Example:
Factor the numerator and denominator:
Divide by the common factor:

7. Excluded Values
Since division by zero is undefined, we must exclude any values of x that cause the denominator to equal zero.
In the last example:
Therefore, the excluded values are:

8. Simplifying Rational Expressions Example:
Factor the numerator and denominator:
Divide by the common factor:
Excluded Values:

9. Classwork: Factoring practice Packet pg. 2 - 3 Simplifying practice
~Odds only~
Homework:
Finish pg