Module: 0 Part 4: Rational Expressions Obj: Simplify rational expressions, complex fractions Evi:...
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Transcript of Module: 0 Part 4: Rational Expressions Obj: Simplify rational expressions, complex fractions Evi:...
Module: 0Part 4: Rational Expressions
Obj: Simplify rational expressions, complex fractions
Evi: Students will solve rational expressions
Rational Expressions
• The set of real numbers for which an algebraic expression is defined is the domain of the expression.
• This is a rational expression the domain is all real numbers expect x=3. If x=3, the bottom is zero and then Channing Tatum dies… we don’t want that.
Simplifying a Rational Expression
• Step 1: Factor Completely• Step 2: Divide out common factors• Step 3: State answer and restrictions
Another Example
Multiplying Rational ExpressionsStep 1: Factor both of them
Step 2: Cancel out common factors
Step 3: Figure out domain
Dividing Rational Expressions
• Same as multiplying but you have to switch so that it becomes a multiply by the reciprocal
Adding and Subtracting
• Step 1: Get common denominator• Step 2: Simplify
Another Example
Complex Fractions
• •
Step 1: Separate fractions
Step 2: Find Common Denominator
Step 3: Simplify
Step 4: Multiple by reciprocal
Step 5: Simplify