Simplifying Rational Expressions

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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 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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CCSS.HSA.APR.D.6

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The first step is to check if the numerator and denominator can be factored.

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CCSS.HSA.APR.D.6

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What does it mean to 'reduce' a rational expression?

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

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

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What is the significance of identifying common factors in rational expressions?

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Identifying common factors allows you to simplify the expression, making calculations easier.

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CCSS.HSA.APR.D.6

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The expression cannot be simplified further as there are no common factors.

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CCSS.HSA.APR.D.6

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What is the process of factoring a polynomial?

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Factoring a polynomial involves expressing it as a product of its factors, which can be numbers, variables, or both.

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CCSS.HSA.APR.D.6