Simplifying Rational Expressions

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What is a rational expression?

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A rational expression is a fraction where both the numerator and the denominator are polynomials.

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What does it mean for a rational expression to be undefined?

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A rational expression is undefined when its denominator equals zero.

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How do you 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 is the first step in simplifying a rational expression?

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Factor both the numerator and the denominator.

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What is the result of canceling common factors in a rational expression?

Back

Canceling common factors simplifies the expression, reducing it to its lowest terms.

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What is the importance of factoring in simplifying rational expressions?

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Factoring allows you to identify and cancel common factors, simplifying the expression.