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A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠ 0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.

A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.

Some examples of rational expressions:

-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.

Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.

Examples:

1) x/2

Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.

2) 2/x

Since the denominator x is a variable, the expression is undefined when x = 0

3) 2/(x - 1)

x - 1 ≠ 0

x ≠ 1

The domain is {x| x ≠ 1}. Or you can say:

The expression is undefined when x = 1.

4) 2/(x^2 + 1)

Since the denominator never will equal to 0, the domain is all real number values of x.

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Q: What is a rational expression?
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Related questions

A rational expression minus another rational expression is?

Another rational expression.


A rational expression multiplied by another rational expression is a rational expression?

Yes.


What fraction having rational expression in its numerator or denominator or both?

If you divide a rational expression by another rational expression, you will again get a rational expression.


Is a rational number is a rational expression?

Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.


What is the rational expression of 1 divided by 3z plus 5?

The expression written in the question is the rational expression.


What is equal to the rational expression below when x 2 or 3?

I can see no rational expression below.


factor 21x + 16?

The expression is not factorable with rational numbers.


What is subtraction of rational expressions?

another rational expression.


How do you determine the values for which a rational expression is undefined?

A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.


Examples of definition of rational algebraic expression?

A rational algebraic expression is the ratio of two algebraic expressions. That is, one algebraic expression divided by another. It is important that the domain is defined in such a way the the rational expression does not involve division by 0.


A rational expression that cannot be simplified?

If there is no common factor other than 1 in a rational expression, it is in simplest terms or form.


The equation of a rational function does not have to contain a rational expression?

false