SOLUTION: find all numbers for which the rational expression is not defined: 2x-7/xsquared+5x-24

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Question 767854: find all numbers for which the rational expression is not defined: 2x-7/xsquared+5x-24
Answer by algebrahouse.com(1659) About Me  (Show Source):
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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}

The values for x that make the expression undefined are -8 and 3.

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