Presentation on theme: "Lesson 8-1: Multiplying and Dividing Rational Expressions"— Presentation transcript:
1 Lesson 8-1: Multiplying and Dividing Rational Expressions
2 Rational ExpressionDefinition: a ratio of two polynomial expressions
3 To Simplify A Rational Expression 1. Make sure both the numerator and denominator are factored completely!!!2. Look for common factors and cancelRemember factors are things that are being multiplied you can NEVER cancel things that are being added or subtracted!!!3. Find out what conditions make the expression undefined and state them.
4 Examples: Simplify and state the values for x that result in the expression being undefined 1.2.
6 Operations with Rational Expressions To Multiply Rational Expressions:Factor and cancel where possible. Then multiply numerators and denominatorsDefine x-values for which the expression is undefinedTo Divide Rational Expressions:Rewrite the problem as a multiplication problem with the first expression times the reciprocal of the second expression. Then factor and cancel where possible. Multiply numerators and denominators
8 Polynomials in Numerator and Denominator Rules are the same as before…1. Make sure everything is factored completely2. Cancel common factors3. Simplify and define x values for which the expression is undefined.
9 Examples: Simplify and define x values for which it is undefined 8.9.