Study Guide 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 add rational expressions with different denominators?

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To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.

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What is the first step in solving a rational equation?

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The first step in solving a rational equation is to eliminate the fractions by multiplying both sides by the least common denominator (LCD).

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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 factoring and canceling common factors in the numerator and denominator.

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How do you find the product of two rational expressions?

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To find the product of two rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

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What is the importance of identifying restrictions in rational expressions?

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Identifying restrictions is important because it helps to determine values that would make the denominator zero, which are not allowed in rational expressions.

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What is the process for solving a rational equation?

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The process includes finding a common denominator, eliminating fractions, solving the resulting equation, and checking for extraneous solutions.

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