Rational Expressions Practice

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What is 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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How do you multiply rational expressions?

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To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

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What is the process for dividing rational expressions?

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

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What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

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What is the importance of factoring in rational expressions?

Back

Factoring helps to identify and cancel common factors, making it easier to simplify rational expressions.

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How do you handle complex fractions?

Back

To simplify complex fractions, find a common denominator for the fractions in the numerator and denominator, then simplify.

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What is the significance of restrictions in rational expressions?

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Restrictions are values that make the denominator zero; they must be excluded from the domain of the rational expression.