What is the hole in this equation

Question

3x(x+2)/ x(x+2)

Answer 1

The rule with holes is that if you can cancel any factors in the numerator and the denominator, this will create a hole.

So in this function, you cancel out the (x+2) expressions and the x expressions.

To find the holes, we set these equal to zero:

x + 2 = 0

x = -2

x = 0

Therefore the holes are at x = -2 and x = 0