The following were originally developed by Margaret Morgan and are being used with her permission.
 
 

Lecture : Rational Expressions



What is a rational expression?

Note that the word rational contains the word ratio. We associate the word ratio with fractions. So, a rational expression is a fraction in which both the numerator and the denominator are polynomials. Do you recall what a polynomial is? Write down an example.

In addition to rational expressions, in future chapters we will study rational equations. It is important to note the difference between a rational expression and a rational equation, because we work with them differently. A rational equation has an = symbol, in it we try to solve for a variable, a rational expression does not have an equal sign, with it we simplify perform the indicated operation, addition, subtraction, multiplication or division.

Here is an example of a rational expression:

 

 

 


Determine whether each of the following is a rational expression or a rational equation.

 

a)

   

b)

c)

 

d)

e)

   

 


Solutions:

a. Rational expression

b. Rational equation

c. Rational expression

d. Rational equation

e. Rational expression
 

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