## Introductory Algebra for College Students (7th Edition)

This rational expression is undefined for the values $x = 2$ and $x = -5$.
To find which numbers the rational expression will be undefined, we set the denominator equal to zero and then solve: $$(x - 2)(x + 5) = 0$$ We now use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors is equal to zero. We can set each factor equal to zero and solve for $x$: $$x - 2 = 0$$ Add $2$ to solve for $x$: $$x = 2$$ Now, we set the other factor equal to zero: $$x + 5 = 0$$ Subtract $5$ from both sides of the equation to solve for $x$: $$x = -5$$ This rational expression is undefined for the values $x = 2$ and $x = -5$.