Rational Expressions
By: Marwan Mohamed G11R
What is a rational Expression ?
A rational expression is a quotient with two polynomials. In a rational expression the numerator or/and the denominator are polynomials.
Undefined and Defined Rational Expressions !!
Undefined rational expressions: Solutions that lead to an undefined result specifically 0 at the denominator.
Defined Rational Expression: A solution that is any number will lead to a real number solution.
Operations Using rational Expression
Addition/ Subtraction
To "Add" or "Subtract" using rational expression you must have a common denominator ( LCD = Lowest common denominator) so that you can add/subtract the numerators together.
Divison
To divide rational expressions , you must flip the quotient expression and multiply it with the numerator's expression.
Multiplication
Factor out each expression separately and divide out common factors and write the simplified product.
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Simplify Rational Expressions Part 1