mac1140_lecture4_1

mac1140_lecture4_1 - L4 1.5 Rational Expressions...

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27 L4 §1 .5 Ra t iona l Expre s s ion s Definition . A rational expression is the quotient of two polynomials. The domain of an expression is set of all real numbers, for which the expression is defined. For a rational expression , the domain is the set of real numbers that do not make the denominator equal to 0. To find the domain of a rational expression , first determine all real values of x that make the denominator equal to 0, zeros of the denominator . Then, write: Domain: { zeros of the denominator} xx ∈≠ \ . Reducing Rational Expressions: Fundamental Principle of Fractions : ac a bc b = (0 , 0 ) bc Note: Assume restrictions on the variables when writing a rational expression in lowest terms.
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28 Example. Find the domain of each rational expression and reduce it to the lowest terms. Warning: write the domain before canceling! a) 2 3 x x x Domain: b) 2 51 0 35 2 x xx = −− Domain: Multiplication and division : ac a c bd b d ⋅= a d b c ÷ =⋅ (0 0 0 ) bcd ≠≠
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29 Example . Multiply or divide, as indicated. Give all restrictions on the variables.
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This note was uploaded on 02/29/2012 for the course MAC 1140 taught by Professor Gregory during the Fall '11 term at Broward College.

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mac1140_lecture4_1 - L4 1.5 Rational Expressions...

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