unit 4 rational functions

6
Unit 4 Rational functions 8-4 multiply and Divide Rational expressions

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Unit 4 Rational functions. 8-4 multiply and Divide Rational expressions. Simplifying a Rational Expression. Simplify each. FACTOR. Multiply Rational expressions. Simplify each. Dividing rational expressions. SAME , CHANGE , FLIP !!!. Math at work. Simplify rational expressions. practice. - PowerPoint PPT Presentation

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Page 1: Unit 4 Rational functions

Unit 4 Rational functions8-4 multiply and Divide Rational expressions

Page 2: Unit 4 Rational functions

Simplifying a Rational Expression

103

1072

2

xx

xx32

23

6

24

yx

yx

)5)(2(

)5)(2(

xx

xx

)5(

)5(

x

xy

x4

Simplify each

FACTOR

Page 3: Unit 4 Rational functions

Multiply Rational expressions

Simplify each

34

25

)5(

62

22

xx

x

x

xx

)1)(3(

)5)(5(

)5(

)2)(3(

xx

xx

x

xx

)1(

)5)(2(

x

xx

43 21

16

2

7

x

y

y

x

3442

112

yx

xy

233

8

yx

Page 4: Unit 4 Rational functions

Dividing rational expressions•SAME , CHANGE , FLIP !!!

xx

x

xx

xx

62

1

12

452

2

2

2

1

62

12

452

2

2

2

x

xx

xx

xx )1)(4( xx

)3)(4( xx )1)(1( xx

)3(2 xx

1

2

x

x

1,1,3,4 x

110312

2

2

2

2

xxxxx

x

103

1

12

22

2

2

xx

x

xx

x

)1)(1( xx

)1)(1( xx

)2)(5( xx

)2( x

)2)(5)(1(

)1)(2(

xxx

xx

)5)(1(

)1(

xx

x

2,5,1 x

Math at work

Page 5: Unit 4 Rational functions

Simplify rational expressions

)3)(6(

24

)5)(3(

)2)(5(

xx

x

xx

xx

3

183

124

1032

2

x

x

xx

xx

248

124

z

z

Page 6: Unit 4 Rational functions

practice

•Pg 531 #8-12 even 15-25 odd