mgb5e_ppt_7_1 - Chapter 7 Rational Expressions 7.1...

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Chapter 7 Rational Expressions
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§ 7.1 Simplifying Rational Expressions
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Martin-Gay, Beginning Algebra, 5ed 3 Rational Expressions Q P Rational expressions can be written in the form where P and Q are both polynomials and Q 0. Examples of Rational Expressions 5 4 4 2 3 2 - - + x x x 2 2 4 3 2 3 4 y xy x y x + - + 4 3 2 x
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Martin-Gay, Beginning Algebra, 5ed 4 To evaluate a rational expression for a particular value(s), substitute the replacement value(s) into the rational expression and simplify the result. Evaluating Rational Expressions Example: Evaluate the following expression for y = - 2. = + - - y y 5 2 ) 2 2 ( 2 5 - = - + - - = - - 7 4 7 4
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Martin-Gay, Beginning Algebra, 5ed 5 In the previous example, what would happen if we tried to evaluate the rational expression for y = 5? = + - - y y 5 2 5 2 5 5 - = - + 0 3 This expression is undefined! Evaluating Rational Expressions
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Martin-Gay, Beginning Algebra, 5ed 6 We have to be able to determine when a rational expression is undefined. A rational expression is undefined when the
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mgb5e_ppt_7_1 - Chapter 7 Rational Expressions 7.1...

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