1. 5.4 Multiply & Divide Rational Expressions
How do you simplify fractions made up of rational functions?

2. Simplified form of a rational expression -
Means the numerator and denominator have NO common factors.
If the numerator and/or denominator are polynomials, factor them ALL THE WAY, then “cancel” common factors. (x+?) or (x-?)
is a package deal—don’t break it up!
** Hint for simplifying:
FACTOR EVERYTHING FIRST!!

3. Factor Completely. 9x2 + 30x + 25 4x2 -16x +16 3x2 -17x +10

4. Examples: Simplify.

5. More Examples: Simplify.
(Hint: Factor everything first!!)

6. Another example even yet: Simplify.

7. Hey, how about ANOTHER Example!

8. You say you want MORE examples?

9. THE LAST EXAMPLE!!!

10. A company makes a tin to hold flavored popcorn
A company makes a tin to hold flavored popcorn. The tin is a rectangular prism with a square base. The company is designing a new tin with the same base and twice the height of the old tin.
Packaging
See page 328
• Find the surface area and volume of each tin.
• Calculate the ratio of surface area to volume for each tin.
• What do the ratios tell you about the efficiencies of the two tins?

11. How do you simplify fractions made up of rational functions?
Factor and reduce

12. 5.4 Assignment
p. 331
7-19 odd, odd