1. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable

2. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :

3. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :
No factoring needed so set denominator = 0 and solve.

4. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :
No factoring needed so set denominator = 0 and solve.
Answer

5. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “m” :

6. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “m” :
No factoring needed so set denominator = 0 and solve.

7. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “m” :
No factoring needed so set denominator = 0 and solve.
Answer

8. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “a” :

9. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “a” :
No factoring needed so set denominator = 0 and solve.
There is a short cut for denominators like
The answer is

10. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “a” :
In this case c = 2 and d = 9
There is a short cut for denominators like
The answer is

11. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “a” :
In this case c = 2 and d = 9
There is a short cut for denominators like
The answer is
Answer

12. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :

13. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :
Factored denominator

14. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “x” :
Set each expression = 0 and solve…

15. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “y” :

16. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “y” :
Factored denominator

17. Rational Expressions – Restrictions
When working with rational expressions, we must remember that it is not possible to divide by zero. So we will identify / define values that are “NON-PERMISSIBLE “.
Steps : Factor completely ( if needed )
2. Set your denominator = 0 and solve for your variable
Example : Find the non-permissible replacement for “y” :