For what value of x is the rational expression below undefined? x+8/x^2 - 2x-24

First step: Factor the expression.

(x + 8) / (x - 6) (x + 4)

Set each factor of the denominator equal to zero.

x - 6 = 0 x + 4 = 0

add 6 to both sides subtract 4 from both sides

x = 6 x = - 4

The function would be undefined if x = 6 or x = - 4