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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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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 