Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

If there is more than one value, separate them with commas.

Ask by Harmon Boone. in the United States

Mar 31,2025

Question

Find all excluded values for the expression.
That is, find all values of for which the expression is undefined.

If there is more than one value, separate them with commas.

Ask by Harmon Boone. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

1. Write down the expression:

$$
   \frac{x^{2}+6 x+5}{x^{2}+2 x+1}
   $$

2. The expression is undefined when the denominator is equal to zero. Set the denominator to zero:

$$
   x^{2}+2 x+1=0
   $$

3. Factor the quadratic in the denominator:

$$
   x^{2}+2x+1=(x+1)^2
   $$

4. Set the factor equal to zero:

$$
   (x+1)^2=0 \quad \Longrightarrow \quad x+1=0
   $$

5. Solve for $$ x $$:

$$
   x=-1
   $$

6. Therefore, the expression is undefined when $$ x=-1 $$.
The expression is undefined when $$ x = -1 $$.