Adding & Subtracting 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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How do you add two rational functions with the same denominator?

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How do you add two rational functions with different denominators?

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To add two rational functions with different denominators, find the least common denominator (LCD), rewrite each function with the LCD, and then add the numerators.

Front

What is the least common denominator (LCD)?

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The least common denominator (LCD) is the smallest expression that can be used as a common denominator for two or more fractions.

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How do you subtract two rational functions?

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To subtract two rational functions, find a common denominator, rewrite each function with that denominator, and then subtract the numerators.

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What is the formula for adding two rational functions?

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What is the formula for subtracting two rational functions?

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What happens if the denominator of a rational function is zero?

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If the denominator of a rational function is zero, the function is undefined at that point.

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How do you simplify a rational function?

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

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What is an example of adding two rational functions?

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