Rational Expressions Flashcard

Front

Define a rational expression.

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

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What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator is zero.

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How do you simplify a rational expression?

Back

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

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How do you find the least common denominator (LCD) for fractions?

Back

The LCD is the least common multiple of the denominators of the fractions.

Front

What is the process for adding rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each fraction, and then combine the numerators.

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Explain how to determine where a rational function is undefined.

Back

A rational function is undefined where its denominator equals zero.