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mac1140_lecture4_1 - L4 1.5 Rational Expressions Definition...

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27 L4 §1.5 Rational Expressions 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} x x \ . Reducing Rational Expressions: Fundamental Principle of Fractions : ac a bc b = ( 0, 0) b c Note: Assume restrictions on the variables when writing a rational expression in lowest terms.
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