# which statement best describes the excluded values of a rational expression?

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## Which statement best describes the excluded values of a rational expression?

a. The number of excluded values of a rational expression cannot exceed the degree of the numerator.

b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.

c. The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.

d. The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

**Answer: **b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.

A rational expression is a fraction in which the numerator and the denominator are polynomials. The excluded values of a rational number are that values which make d

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### Finding Excluded Values of Rational Expressions

TheÂ **domain**Â of a rational expression is all realÂ **numbers**Â except for those that make the denominator equal to zero. Since 7 7 77 makes the denominator 0 0 00, weÂ **must exclude**Â this from theÂ **domain**.

### How do you simplify rational expressions?

AÂ **rational expression**Â is considered simplified if the numerator and denominator have no factors in common.

- Step 1: Factor the numerator and the denominator.
- Step 2: List restricted values.
- Step 3: Cancel common factors.
- Step 4: Simplify and note any restricted values not implied by the expression.

Factor the denominator of the rational expression.Â **Find the value that makes each factor equal zero**. These are excluded values of the domain of the rational expression.

How do you determine the excluded value S that will make the given expression undefined? A rational expression is undefined when the denominator is equal to zero. To find the values that make a rational expression undefined,Â **set the denominator equal to zero and solve the resulting**Â equation. Example: 0 7 2 3 x x âˆ’ Is undefined because the zero is in the denominator.

How can you determine the excluded values in a product or quotient of two rational expressions? a product or quotient of two rational expressions? You can multiply and divide rational expressions in much the same way that you multiply and divide fractions.Â **Values that make the denominator of an expression zero**Â are excluded values.

Secondly What is the excluded value 0 1? An excluded value of an expression is the value of a variable where the expression is not defined. For example, a fraction is not defined when its denominator is zero. So the excluded value of the fraction 1x isÂ **x=0**Â .

## How do you know if a number is included or excluded?

The notation may be a little confusing, but just remember that square brackets mean the end point is included, andÂ **round parentheses mean itâ€™s excluded**. If both end points are included the interval is said to be closed, if they are both excluded itâ€™s said to be open.

then Which statement best describes the excluded values of a rational expression? The number of excluded values of a rational expressionÂ **cannot exceed the difference in the degrees of the numerator and denominator**.

What are the excluded values 1? Whatâ€™s an Excluded Value? Excluded values are simply that: values that are excluded, or left out. These are values thatÂ **will make the denominator of a rational expression equal to 0**. Remember, youâ€™re not allowed to divide by 0, so these values are important to identify and exclude while solving.

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