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Manipulating Rational Expressions

Manipulating Rational Expressions 1.12 - Solution

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A rational expression is undefined when its denominator equals . Thus, we must find a denominator which equals if or . The simplest polynomial that gives when is because . By the same reasoning, we find because the . For the denominator to be undefined for both and , the entire denominator must equal when substituting for these values. This is satisfied by the product The numerator can be any polynomial, for example, choose the rational expression