Find all values for which the rational expression is not defined:

2x - 7

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x² + 5x - 24

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*