1. 2.

ANSWERS

Factor

3.

312 18x x

38

274.

5 1

2 2x x

( 1)( 1)x x x

2

3

26 (2 3)x x

32 3

2 3 4

xy z

x y z

3 15

3

x y

z

Simplify

Check Homework

Check Homework (cont)

PREPRELesson 1.4 Rational Expressions

Objectives:• To review domain• To simplify rational

expressions

Domain

The domain of an algebraic expression is the set of real numbers that the variable is permitted to have.

x

1

}0{: xD

x

}0{: xD

x

1

}0{: xD

Vocabulary

A quotient of two algebraic expressions is a

fractional expression.

A rational expression is a fractional

expression where both the numerator and

denominator are polynomials.

3; 0, 0x yx

3( 2); 2,4

( 2)( 4)

xx

x x

2 1

; 2,33

xx

x

13

x

54

y

1 3x

x

5 4y

y

1 3x

x

5 4y

y

5 4

y

y

(1 3 )

(5 4 )

y x

x y

3

5 4

y xy

x xy

1

xy6

2 1

y

y

3 2

2

4 2

2 4

x x x

x x

Classwork: Book: pg.41, 8-52 eoe

Classwork: Book: pg.41, 8-52 eoe

Ex 1. Perform the indicated operation and simplify.

1

123

168

322

2

x

x

xx

xx

Extr

a P

ract

ice

Multiply or divide and simplify.3)

4) 5)

5

4

16

252

2

x

x

x

x

65

32

1892

942

2

2

2

yy

yy

yy

y

2811152

165

2

2

2

xxxx

xx

Extr

a P

ract

ice

1)

2)

31

5

x

x

x

22 2

1

4

xx

x

Extr

a P

ract

ice

Simplify

xy

yx

1

1

Extr

a P

ract

ice