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Mathematics LibreTexts

Key Terms Chapter 07: Rational Expressions and Functions

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complex rational expression | A complex rational expression is a rational expression in which the numerator and/or denominator contains a rational expression.

critical point of a rational inequality | The critical point of a rational inequality is a number which makes the rational expression zero or undefined.

extraneous solution to a rational equation | An extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined.

proportion | When two rational expressions are equal, the equation relating them is called a proportion.

rational equation | A rational equation is an equation that contains a rational expression.

rational expression | A rational expression is an expression of the form pq, where p and q are polynomials and q0.

rational function | A rational function is a function of the form R(x)=p(x)q(x) where p(x) and q(x) are polynomial functions and q(x) is not zero.

rational inequality | A rational inequality is an inequality that contains a rational expression.

similar figures | Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides have the same ratio.

simplified rational expression | A simplified rational expression has no common factors, other than 1, in its numerator and denominator.

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