# Pre-Calculus Sec 1.4 Rational Expressions - PowerPoint PPT Presentation

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Pre-Calculus Sec 1.4 Rational Expressions. Objectives: To review domain To simplify rational expressions. Vocabulary. A quotient of two algebraic expressions is a fractional expression.

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Pre-Calculus Sec 1.4 Rational Expressions

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## Pre-CalculusSec 1.4 Rational Expressions

Objectives:

To review domain

To simplify rational expressions

### 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.

### Domain

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

Some basic expressions and their domains.

a)

b)

c)

### Class Work

Find the domain of each expression.

1.2.

### Simplifying Rational Expressions

Ex 2. Simplify.

a)

b)

Multiplying Rational Expressions

To multiply rational expressions, we use this property of fractions:

Ex 3. Perform the indicated operation and simplfy.

### Dividing Rational Expressions

To divide rational expressions, we use this property of fractions:

Ex 4. Perform the indicated operation and simplify.

### Class Work

Multiply or divide and simplify.

3) 4)

5)

### Adding & Subtracting Rational Expressions

To add or subtract rational expressions, we first find a common denominator and then use this property of fractions:

Ex 4. Perform the indicated operation & simplfy.

a)

b)

6)

7)

### Compound Fractions

A compound fraction is a fraction in which the numerator, the denominator, or both, are themselves fractional expressions.

Ex 5. Simplify