1. Notes Over 11.4 Simplifying a Rational Expression
A fraction whose numerator and denominator are nonzero polynomials.
Simplified rational Expression
When the numerator and denominator have no factors in common (other than 1)
CANCEL FACTORS NOT TERMS!
Simplify the expression if possible.

2. Notes Over 11.4 Simplifying a Rational Expression
A fraction whose numerator and denominator are nonzero polynomials.
Simplified rational Expression
When the numerator and denominator have no factors in common (other than 1)
CANCEL FACTORS NOT TERMS!
Simplify the expression if possible.

3. Notes Over 11.4 Simplifying a Rational Expression
A fraction whose numerator and denominator are nonzero polynomials.
Simplified rational Expression
When the numerator and denominator have no factors in common (other than 1)
CANCEL FACTORS NOT TERMS!
Simplify the expression if possible.
Since you cannot factor the numerator,
and the numerator and denominator are not exactly the same -
then it is already simplified.

4. Notes Over 11.4 Recognizing Opposite Factors
Simplify the expression if possible.

5. Notes Over 11.4 Recognizing Opposite Factors
Simplify the expression if possible.

6. Notes Over 11.4 Recognizing Opposite Factors
Simplify the expression if possible.

7. Notes Over 11.4 x+5 x+2 x 2x Writing and Using a Rational Model
7. A coin is tossed into the large rectangle region shown below. It is equally likely to land on any point in the region. Write a model that gives the probability that the coin will land in the small rectangle. 2x
x+5
x+2 x

8. Notes Over 11.4