Find all values for which the rational expression is not defined: 2x  7  x² + 5x  24 It is undefined when the denominator is equal to zero. Find the value of x that makes the denominator equal to zero. 2x  7  x² + 5x  24 Set the denominator equal to zero and solve for x. x² + 5x  24 = 0 {set the denominator equal to 0} (x + 8)(x  3) = 0 {factored into two binomials} x + 8 = 0 or x  3 = 0 {set each factor equal to 0} x = 8 or x = 3 {solved for x} 8 and 3 are the values for x that make the expression undefined.  Algebra House
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