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Test Description for RATIONAL EX
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Systems of Linear Equations: Cramer's Rule
Introduction to Systems of Linear Equations
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Rational Expressions
SOLVING LINEAR AND QUADRATIC EQUATIONS
Steepest Descent for Solving Linear Equations
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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)n-th :

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:

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