Multiplying and Dividing Rational Expressions

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What is a rational expression?

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

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What does it mean to simplify a rational expression?

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

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What is the first step in multiplying rational expressions?

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The first step is to factor all numerators and denominators completely.

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How do you divide rational expressions?

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To divide rational expressions, multiply by the reciprocal of the divisor.

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What is the formula for multiplying two rational expressions?

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What is the GCF (Greatest Common Factor)?

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The GCF is the largest factor that two or more numbers or expressions share.

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How do you find the GCF of two polynomials?

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To find the GCF of two polynomials, factor each polynomial and identify the highest common factors.

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What is the importance of factoring in simplifying rational expressions?

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

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What does it mean to cancel common factors in rational expressions?

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Canceling common factors means removing the same factor from the numerator and denominator to simplify the expression.

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