MATH 113 Study Guide - Quiz Guide: Rational Function, Algebraic Equation
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Math 20-1 chapter 6 rational expressions and equations concept review. A rational expression is a fraction, p q where p and q are polynomials, q 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero. Indicate all non-permissible values for variables in a rational expression. Rational expressions can be simplified by: factoring the numerator and the denominator determining non-permissible values for variables divide all common factors in both the numerator and denominator. To add or subtract rational expressions, the expressions must have the same denominator. As with fractions, we add or subtract rational expressions with the same denominator by combining the terms in the numerator and then writing the result over the common denominator. For terms with like denominators, add or subtract the numerators only. For unlike denominators, rewrite them in equivalent forms that have the same denominator.