Simplifying Rational Functions

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What is a rational function?

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A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

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What does it mean to simplify a rational function?

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Simplifying a rational function involves factoring the numerator and denominator and canceling out any common factors.

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What is the importance of identifying common factors in rational functions?

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Identifying common factors allows for simplification, making calculations easier and revealing the function's behavior.

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What is the first step in simplifying a rational function?

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The first step is to factor both the numerator and the denominator.

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What does it mean to cancel out in rational functions?

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

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