Advanced Algebra - 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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The expression is undefined when the denominator is zero, so it is undefined at x = 3.

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What is the process to find the values that make a rational expression undefined?

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Set the denominator equal to zero and solve for the variable.

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What does it mean for a rational expression to be in simplest form?

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A rational expression is in simplest form when the numerator and denominator have no common factors other than 1.

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How do you determine the domain of a rational expression?

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The domain includes all real numbers except those that make the denominator zero.

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What is the significance of identifying restrictions in rational expressions?

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Identifying restrictions helps avoid undefined values in the expression.

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