Operations with Rational Expressions Flashcard

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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 add rational expressions with the same denominator?

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To add rational expressions with the same denominator, combine the numerators and keep the denominator the same.

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What is the process for subtracting rational expressions?

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To subtract rational expressions, find a common denominator, combine the numerators, and simplify if possible.

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What is the least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for two or more rational expressions.

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How do you simplify a rational expression?

Back

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

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.