Definitions of the Day (DODs)
11.3b – Multiplying and Dividing Rational Expressions
• Rational Expression (Review)
• Simplest Form
Episode 3 – The Enemy MultipliesIt is a dark time for Algebra 1b students.
Many have forgotten the simple rules
of arithmetic…and lost their factoring
flowchart…
Evading the evil forces that contribute
to lack of homework, you must feel
the force…
Now, you are being asked to multiply and
divide with the enemies. You must keep up…
don’t give up yet…
FEEL THE FORCE!!!
Definition: Rational Expression:An expression that can be written in the form
Examples:
polynomialpolynomial
2
14x 4
2x
x
2 3 22
x xx
Definition: Simplest Form of a Rational Expression: A rational expression that have no common factors (except 1).
Review: Multiplying and Dividing Fractions
10 614 35
32 820 5
Steps to multiply (or divide) rational expressions:
2. Completely factor numerators.
3. Completely factor denominators.
4. Simplify by reducing terms common to numerators and denominators of either expression.
5. Multiply straight across.
1. If division, flip the 2nd expression.
Find the Quotient
2 37 14
10 15
c b
Find the Quotient
23 99
xx
x
Find the Product
2 2
2 2
4 12 5 10
4 6
x x x x
x x x
Your Turn!!Find the Product or Quotient
3
531) 15
2
xx 2
2 1 62)
3 4 1
x x
x
Sentence Frames
1. Simplest form of a rational expression is ________________________________________
_______________________________________.
2. Explain how multiplication and division of rational expressions (or fractions) are related. ___________________________________________________________________________________________________________________________________________________________________.