# 9.4 - Multiplying Rational Expressions Step 1 : Factor...

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9.4 Notes 9.4 Notes Rational Expressions Warm Warm -up up Factor. Multiply. Divide. 10 10 2 - x 16 2 3 8 4 3 16 9 ÷ Objectives Objectives • Simplify rational expressions • Multiply and Divide rational expressions • State restrictions on variables Rational Expressions Rational Expressions Simplest Form: when numerator and denominator are polynomials that have no common devisors. Simplest Form: Not Simplest Form: 1 - x x 3 2 2 + x 2 x x ) 3 ( 3 ) 3 ( 2 - - x x Simplifying Rational Expressions Simplifying Rational Expressions Step 1: Factor the polynomials (numerator and denominator) Step 2: Divide out common factors. Step 3: State any restrictions on variables. 20 9 25 10 2 2 + + + + x x x x

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You try! You try! Simplify 6 5 2 3 2 2 2 + - - - x x x x Multiplying Rational Expressions
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Unformatted text preview: Multiplying Rational Expressions Step 1 : Factor everything you can and multiply across the numerator and denominator. Step 2 : Divide out common factors Step 3: Foil any leftover binomials Step 4 : State any restrictions on x. 15 8 16 4 3 7 2 2 2 2 + +--+ + x x x x x x You try! You try! a a a a a 2 1 1 4 2 2 2 + + --Dividing Rational Expressions Dividing Rational Expressions Divide. Step 1 : multiply by the reciprocal Step 2 : Follow all steps for multiplying rational expressions. ) 5 7 )( 2 ( ) 4 ( 5 ) 2 )( 2 3 ( 4----+-y x x x x x Homework # _______ Homework # _______ p. 501 # 1-17 (odds)...
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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9.4 - Multiplying Rational Expressions Step 1 : Factor...

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