# Rational Expressions

Tuesday, December 27th, 2011 at
6:15 pm

## Rational Expressions

### Domain — *what values of x make the statement valid? Usually the domain is all real numbers but …. or all real #’s such that x does not equal ….*

### Examples: Domain:

### *all reals*

### * all reals such that * *[cannot be a negative ** # under a sign]*

### all reals such that *[cannot be 0 in the ** denominator]*

## Simplifying Rational Expressions:

**Be sure to factor each polynomial completely before cancelling common factors.*

*Ex. *

*Note: *

## Operations with Rational Expressions

*Multiplying – Factor then cancel*

*Dividing – Change to multiplying / Factor / Cancel*

*Adding / Subtracting – find the LCD - *

### Examples:

## Complex Fractions —

*Fractions in the numerator and/or in the denominator*

*Examples: *

**Filed under: **Pre-requisites for Pre-Calculus

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