PDM Standard 5.A - 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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How do you simplify a rational expression?

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To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

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The first step is to check if any factors can be canceled between the numerator and the denominator.

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What does it mean for a rational expression to be in simplest form?

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A rational expression is in simplest form when the numerator and denominator have no common factors other than 1.

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The expression is already in simplest form.

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How do you identify common factors in a rational expression?

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Common factors can be identified by factoring the numerator and denominator and looking for identical factors.

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What is the significance of factoring in simplifying rational expressions?

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

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