1. 6.6 Simplifying Rational Expressions

2. The of two polynomials is called a expression.
A function that is defined by a quotient of two polynomials and is written in simplest form is called a .
In no case can the be
To reduce a fraction into lowest terms, we can common factors in both the numerator and denominator.
quotient
rational
rational
function
denominator
zero
cancel

3. Example: Simplify. First, factor both the numerator and denominator.
Then, determine which values x cannot be (what makes the denominator zero)
Finally, cancel any common factors and rewrite the expression.

4. Simplify. 1.

5. Simplify. 2.

6. Simplify. 3.

7. Simplify. 4.