Adding and Subtracting Rationals+Solving Rational Equations

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What is a rational expression?

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

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How do you find a common denominator for adding or subtracting rational expressions?

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To find a common denominator, identify the least common multiple (LCM) of the denominators involved.

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

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The first step is to ensure that the expressions have a common denominator.

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What is the difference between adding and subtracting rational expressions?

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Adding involves combining the numerators directly, while subtracting requires changing the sign of the second numerator before combining.

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What is the importance of factoring in rational expressions?

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Factoring helps simplify expressions and find common denominators more easily.

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What does it mean to simplify a rational expression?

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To simplify a rational expression means to reduce it to its lowest terms by canceling common factors.

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What is a polynomial?

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