SOLUTION: I have this question on my assignment: "Create two different rational polynomial expressions with the following constraints: -one expression is undefined when x = 4 -the ot

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have this question on my assignment: "Create two different rational polynomial expressions with the following constraints: -one expression is undefined when x = 4 -the ot      Log On


   

Question 1028617: I have this question on my assignment:
"Create two different rational polynomial expressions with the following constraints:
-one expression is undefined when x = 4
-the other is undefined when x = ‒2 or 0.
Then, rewrite both as equivalent expressions, with a common denominator."
I think I understand how polynomial expressions expressions work I just can't figure out how to work backwards only knowing constraints. I really have no idea where to ever start.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Division by zero is undefined so,
1%2F%28x-4%29 is undefined when x=4.
You can just add more factors to the denominator,
1%2F%28x%28x%2B2%29%29 is undefined when x=0 and x=-2.
So then use the common denominator, x%28x%2B2%29%28x-4%29

and similarly,