Flashcard Review - Multiplying and Dividing Rational Expressions.

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Define a rational expression.

Back

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

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What is the first step in multiplying rational expressions?

Back

Factor all polynomials in the numerator and denominator.

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What is the rule for dividing rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the second expression.

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What does it mean to simplify a rational expression?

Back

To simplify a rational expression means to reduce it to its lowest terms by canceling common factors.

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What is a common factor in rational expressions?

Back

A common factor is a polynomial that divides both the numerator and the denominator without leaving a remainder.

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What is the importance of factoring in rational expressions?

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