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Pre-Calculus Sec 1.4 Rational Expressions Objectives: To review domain To simplify rational expressions

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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.

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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.

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Ex 1. Find the domain of each expression. a) b) c)

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Class Work Find the domain of each expression. 1.2.

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Simplifying Rational Expressions Ex 2. Simplify. a) b)

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

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Ex 3. Perform the indicated operation and simplfy.

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

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Ex 4. Perform the indicated operation and simplify.

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Class Work Multiply or divide and simplify. 3) 4) 5)

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

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Ex 4. Perform the indicated operation & simplfy. a) b)

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Class Work 6) 7)

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

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Ex 5. Simplify

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Common Errors to Avoid

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Hw #4 p41 1,4,5,7,10,11,15 22,25,27,34,39,42,45,49,51

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