Adding and Subtracting Rational Expressions

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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 find the least common denominator (LCD) of rational expressions?

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To find the LCD, factor each denominator and take the highest power of each factor that appears.

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What is the first step in adding or subtracting rational expressions?

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The first step is to find a common denominator for the expressions.

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What is the formula for adding two rational expressions?

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What does it mean to simplify a rational expression?

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Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

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What is the process for subtracting rational expressions?

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Similar to addition, find a common denominator, then subtract the numerators and simplify.

Front

What is a polynomial?

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A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

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