1. Rational Expressions

2. Rational Expression Examples
An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.
Examples

3. Restrictions on Variables
The denominator cannot equal zero.
The restrictions indicate when the denominator equals zero.
Factor the denominator completely and set each factor not equal to zero.
Solve for the given variable.

4. All the x values in a given function.
Domain of A Function
All the x values in a given function.

5. State the restrictions on the domain and state the domain of the function.

6. Simplifying Factor each expression completely List any restrictions
Divide out any common factors
Simplify and leave in factored form

7. Simplify the following rational expressions and state the domain

8. Multiplying and Dividing
Change division to multiplication of the inverse
Factor each expression completely
Divide out any common factors
Simplify and leave in factored form

9. Perform the indicated operation and leave your answer in factored form.

10. Adding and Subtracting
Factor each denominator completely
Find the LCM of the denominators
Multiply each term by the LCM
Simplify the numerator
The denominator is the LCM
Simplify and leave in factored form

11. Perform the indicated operation and leave your answer in factored form.

12. Perform the indicated operation and leave your answer in factored form.

13. Complex Rational Factor each denominator completely Find the LCM
Multiply numerator / denominator by the LCM
Combine all like terms
Simplify and leave in factored form

14. Perform the indicated operation and leave your answer in factored form.

15. Perform the indicated operation and leave your answer in factored form.

16. Perform the indicated operation and leave your answer in factored form.

17. Perform the indicated operation and leave your answer in factored form.