Rational Expressions
5. Rational Expressions:
(1).Def:A rational expression is the quotient of two polynomials.
Example:
(2)Domain: the set of all real numbers for which the expression is defined.
For a rational expression, the domain is the set of the numbers that make the
denominator
nonzero.
Example:
so the domain of this expression is
(3)Simplifying, Multiplying, and Dividing rational expressions
Example:
(3)Adding and Subtracting Rational Expressions
Example:
* Strategy:(1)simplify. (2) find the least common
denominator (LCD)
6 : Radical Notation and Rational Exponents:
(1)nth :
Example:
(2)(i)if n is even:
(ii) if n is odd:
Example: Simplify
(3):Rational Exponents:
(i) Def: , where m and n are integers
Example:
