Operations with 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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What are domain restrictions in rational expressions?

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Domain restrictions are values that make the denominator of a rational expression equal to zero, which are not allowed.

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How do you find domain restrictions for a rational expression?

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Set the denominator equal to zero and solve for the variable to find the values that are not in the domain.

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What happens if you try to evaluate a rational expression at a value that is not in the domain?

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You will encounter an undefined expression, often resulting in division by zero.

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What is the result of multiplying two rational expressions?

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To multiply, multiply the numerators together and the denominators together, then simplify.

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What is the result of dividing two rational expressions?

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To divide, multiply by the reciprocal of the second expression and simplify.

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