Solving Rational Expressions

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Define 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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What is the domain of a rational expression?

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The domain of a rational expression is the set of all real numbers except those that make the denominator zero.

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How do you find excluded values in a rational expression?

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To find excluded values, set the denominator equal to zero and solve for the variable.

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What is an extraneous solution?

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An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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What is the first step in solving a rational equation?

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The first step is to find a common denominator to eliminate the fractions.

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What is the importance of checking solutions in rational equations?

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Checking solutions ensures that they do not make the denominator zero, which would invalidate the solution.

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