SOLUTION: Find all numbers that must be excluded from the domain of the rational expression. {{{(x-4)/(x^2+6x+8)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all numbers that must be excluded from the domain of the rational expression. {{{(x-4)/(x^2+6x+8)}}}      Log On


   

Question 770156: Find all numbers that must be excluded from the domain of the rational expression.
%28x-4%29%2F%28x%5E2%2B6x%2B8%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%2F%28x%5E2%2B6x%2B8%29

Denominators can never = 0, so

   x² + 6x + 8 ≠ 0

(x + 4)(x + 2) ≠ 0

x + 4 ≠  0;  x + 2 ≠  0
    x ≠ -4       x ≠ -2

So -4 and -2 must be excluded from the domain.

Edwin