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Rational Expressions and Their Simplification
Radical Expressions and Equations
Algebraic Expressions
Simplifying Algebraic Expressions
Rational Expressions and Functio
Rational Expressions and Functions
Radical Expressions
Rational Expressions Worksheet
Adding and Subtracting Rational Expressions
Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Fractions, Mixed Numbers, and Rational Expressions
Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Simplifying Rational Expressions
Complex Rational Expressions
Rational Expressions and Equations
Integration of Polynomial Rational Expressions
Algebraic Expressions
Radical Expressions & Radical Functions
Rational Class and Expression Evaluator
Adding and Subtracting Rational Expressions
Rational Expressions
Radical Expressions
Multiplying Rational Expressions
Rational Expressions and Common Denominators
rational expressions
Polynomial Expressions
Rational Functions, and Multiplying and Dividing Rational Expressions
Simplifying Radical Expressions
Adding and Subtracting Rational Expressions
Rational Expressions and Equations
Rational Expressions
RATIONAL EXPRESSIONS II
Simplifying Expressions
Quadratic Expressions,Equations and Functions
RATIONAL EXPRESSIONS
Absolute Value and Radical Expressions,Equations and Functions
Rational Expressions & Functions

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Rational Expressions and Their Simplification

A rational number is a fraction, like 2/5. A rational expression is a ratio in
which the numerator and denominator may both be polynomials, like

EXAMPLE: Find all numbers for which each rational expression is undefined.

The expression is undefined if the denominator is zero. When is the
denominator zero?


EXAMPLE: Find all numbers for which each rational expression is undefined.

SIMPLIFYING RATIONAL EXPRESSIONS:

A rational expression can be simplified by dividing out common factors
shared by its numerator and denominator. For example,

We can’t cancel common terms:
factors:
WRONG

We can cancel common

RIGHT

TO SIMPLIFY A RATIONAL EXPRESSION

1.) Factor the numerator and denominator
completely
2.) Divide out all the common factors

EXAMPLE: Simplify

EXAMPLE: Simplify the following

EXAMPLE: Find the opposites of the following





How can you notice opposite pairs?
What is the ratio of two expressions that are opposite pairs?

EXAMPLE: Simplify