Algebra 2 - Rational Expressions & Equation Review

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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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What is the first step in solving a rational equation?

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The first step is to find a common denominator for all the fractions involved.

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How do you determine the domain of a rational expression?

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The domain is all real numbers except where the denominator equals zero.

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What does it mean if a rational equation has no solution?

Back

It means that there are no values of the variable that satisfy the equation, often due to a contradiction.

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No Solution.

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What is the process of cross-multiplication in rational equations?

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Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other to eliminate the fractions.

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What is a common mistake when solving rational equations?

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A common mistake is forgetting to check for extraneous solutions that may arise from multiplying both sides by a variable expression.