Rational Expressions Flashcard 1

Front

Define a rational expression.

Back

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

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What is the first step in simplifying a rational expression?

Back

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

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What does it mean to multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify.

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What is the least common denominator (LCD) in adding rational expressions?

Back

The LCD is the smallest expression that can be used to combine the denominators of the rational expressions.

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What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

Front

What is the difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator; an improper one has a degree of the numerator greater than or equal to the degree of the denominator.