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
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. |
Examples
All
|