mac1147_lecture3_1_b

# mac1147_lecture3_1_b - L3 Rational Expressions nth Roots...

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25 L3 Rational Expressions; nth Roots; Rational Exponents Rational Expressions The domain of an expression in one variable is the set of all real numbers for which the expression is defined. A rational expression is a ratio of two polynomials. The domain of a rational expression is the set of all real numbers which do not make the denominator equal to zero. Reducing Rational Expressions: ac a bc b = if 0, 0 bc Example : Find the domain and reduce the expression to lowest terms. 1) 2 56 39 xx x ++ = + Domain:

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26 2) 2 25 5 x x = Domain: Multiplication and division : ac a c bd b d ⋅= i f 0, 0 a d b c ÷= i f 0 bcd ≠≠ Example : Perform the indicated operations and simplify. Give restrictions on the variables. 3 32 84 25 6 yy y −+
27 22 2 () xy x y xy xy −− ÷= Addition and subtraction: In order to add/subtract rational expressions we use the Least Common Multiple (LCM) of the denominators. To Find the LCM of the Denominators : 1. Factor polynomials that are in the denominators.

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## This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture3_1_b - L3 Rational Expressions nth Roots...

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