Values of x for Undefined Expressions

Question

For what value(s) of x will each expression be undefined? (x^2+4x+4)/(x^2 +x−6)

A) 6

B) -2

C) -2and3

D) 2and-3

Answer 1

Hello,

The key to this problem is finding if there are any X values that make the denominator zero which then makes it undefined

If you look at the denominator x^2 + x - 6

You can factor this into (x+3)(x-2) = 0

The X values that will make this equal to zero are x=-3 or x=2

The keywords in this problem are undefined, denominator, and factoring to see what X values make the denominator equal to zero. If you understand the keywords, then you will have no problem solving these types of problems.

Answer 2

For what values of x shall the denominator be equal to zero?

Answer 3