8.2 Add/Subtract Rational functions

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Define 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 is the least common denominator (LCD) and why is it important in adding or subtracting rational functions?

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The least common denominator (LCD) is the smallest multiple of the denominators of the rational functions involved. It is important because it allows us to combine the fractions into a single fraction.

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How do you find the sum of two rational functions?

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To find the sum of two rational functions, first find the LCD, rewrite each fraction with the LCD, then add the numerators and simplify.

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What is the process for subtracting rational functions?

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To subtract rational functions, find the LCD, rewrite each fraction with the LCD, subtract the numerators, and simplify the result.

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What is the formula for the sum of two fractions with different denominators?

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