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**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

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**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” :

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**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.

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**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

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**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” :

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**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.

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**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

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**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” :

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**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

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**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

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**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

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**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” :

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**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

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**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…

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**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” :

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**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

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**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” :

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Table of Contents Rational Expressions and Functions where P(x) and Q(x) are polynomials, Q(x) ≠ 0. Example 1: The following are examples of rational expressions:

Table of Contents Rational Expressions and Functions where P(x) and Q(x) are polynomials, Q(x) ≠ 0. Example 1: The following are examples of rational expressions:

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