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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

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.

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)

Find the domain of each expression.

1.2.

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.

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

Ex 4. Perform the indicated operation and simplify.

Multiply or divide and simplify.

3) 4)

5)

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)

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

Ex 5. Simplify

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