Rational Expressions $$ \begin{array}{l}\frac{x-2}{x^{2}+5 x+4} \ \text { Type the values for which the rational expression is undefined. Select the correct choice below and fill in any answer boxes within your choice. } \ \text { A. } \square \text { (Use a comma to separate answers as needed.) } \ \text { B. The rational expression is defined for all real numbers. }\end{array} \text { from the domain of the rational expression. } $$ Thes Points

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1. Factor the denominator:
   $$
   x^2 + 5x + 4 = (x+1)(x+4)
   $$

2. Set the factors equal to zero to find when the denominator is zero:
   $$
   x+1=0 \quad \text{or} \quad x+4=0
   $$
   Solving, we get:
   $$
   x=-1 \quad \text{or} \quad x=-4
   $$

3. The rational expression is undefined when the denominator is zero. Therefore, the values are:
   $$
   x=-1, \, -4
   $$
The rational expression is undefined at $$ x = -1 $$ and $$ x = -4 $$.

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