What are the excluded factors of 2/ x(x-3)

Hey there!

The excluded factors of an equation are the values of x in which the result is undefined. This means, if the denominator or x(x-3) is equal to 0, then your solution would be undefined. 

To find these values, set up this equation and solve for the possible values of x:
x(x-3)=0

To solve for one of the values, divide both sides by (x-3):
x(x-3)/(x-3)=0(x-3)

Because (x-3) would cancel on the left hand side of the equation, and on the right hand side, anything divided by 0 is 0, you should get:
x=0

Now that you have one of the excluded values, solve for the other:
First divide both sides by x:
x(x-3)=0
x-3=0

Finally, add -3 to both sides to get:
x=3

Therefore, your excluded values of x would be 0 and 3.

Hope this helps and have a wonderful day! :)