CFA # 4 Simplifying Rational Expressions

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Define a rational expression.

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A rational expression is a fraction where the numerator and the denominator are both polynomials.

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What is the first step in simplifying a rational expression?

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The first step is to factor both the numerator and the denominator completely.

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What does it mean to 'cancel' in a rational expression?

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To 'cancel' means to remove common factors from the numerator and denominator.

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Define the term 'undefined' in the context of rational expressions.

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A rational expression is undefined when its denominator equals zero.

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What is the importance of factoring in simplifying rational expressions?

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Factoring allows us to identify and cancel common factors, simplifying the expression.

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