do now: factor the expression, if possible.. academy algebra ii/trig r7: rational expressions hw:...

Do Now: Factor the expression, if possible.

23 .2

1 .1

2

3

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Academy Algebra II/Trig

R7: Rational ExpressionsHW: tonight: p.69-70 (8-32 every other even), tomorrow: p.70-71 (36, 40, 62, 64, 70, 76, 84)

Unit 9 Quiz: R7 – Tuesday, 3/25

Reduce the rational expression to lowest terms.

23

44 .1

2

2

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Reducing, Multiplying, and Dividing Rational Expressions.

Factor all polynomials in each numerator and denominator.

Only identical polynomials can cancel with each other.

Reduce any monomials if necessary.

Reduce the rational expression to lowest terms.

xx

x

2

8 .2

3

3

Reduce the rational expression to lowest terms.

12

28 .3

2 xx

x

Perform the indicated operation and simplify the result.

2

4412 .4

2

2

3

2

xx

x

xx

xx

Perform the indicated operation and simplify the result.

8

12

4

3 .5

3

2

2

x

xx

x

x

Perform the indicated operation and simplify the result.

xx

x

612

12

3

84 .6

Perform the indicated operation and simplify the result.

214

149

352

103 .7

2

2

2

2

xx

xx

xx

xx

Adding and Subtracting Rational Expressions.

Create common denominators.Factor denominator.

Only identical polynomials can cancel with each other.

Reduce any monomials if necessary.

Perform the indicated operation and simplify the result.

52

3

52

42 .8

2

x

x

x

x

Perform the indicated operation and simplify the result.

3

23

3 .9

x

x

x

x

Perform the indicated operation and simplify the result.

24

3 .10

x

x

x

x

Perform the indicated operation and simplify the result.

1

32

23 .11

22

x

x

xx

x

Do Now: Perform the indicated operation and simplify the result.

xx

x 1

4 .12

2

2

Perform the indicated operation and simplify the result.

12

43 .13

22

xx

x

xx

Perform the indicated operation and simplify the result.

122

24 .14

2

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