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Q: Examples of definition of rational algebraic expression?

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what are the example of quotient orf rational algebraic expression.

If the algebraic expression can be written in the form of a(x)/b(x) where a(x) and b(x) are polynomial functions of x and b(x) â‰ 0, then the expression is a rational algebraic expression.

A rational algebraic expression is the ratio of two polynomials, each with rational coefficients. By suitable rescaling, both the polynomials can be made to have integer coefficients.

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Yes.

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The coefficients in a rational expression would be rational numbers.

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an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,

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irrational expression is that wich are not rational or it can't be written in the form of p/q. such as (x)1/3

something that looks like ax^2+bx+c

Another rational expression.

Yes.

When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.

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

A rational expression is an expression that includes only additions, subtractions, multiplications and divisions. Some of the things that will make an expression irrational (not rational) are square roots, higher-level roots, non-integer powers, exponentials (powers in which the variable expression occurs in the exponent), and common functions such as logarithms or trigonometric functions.

You will know because there are no other numbers that can go into both the numerator and denominator.

man is an irritable rational animal

If its proper- the degree of the top is less than the degree of the bottom If its improper- the degree of the top is greater than or equal to the degree of the bottom

Basically, a rational expression would include only additions, subtractions, multiplications, divisions, and integer powers, while an irrational expression could, in addition, include several additional functions, such as roots (or equivalently, non-integer powers), exponential functions, logarithms, trigonometric functions, and just about any other function.

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

These can be found through your textbook. You can look through the specific chapter to find the information that you need.