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2. Factor
x2+10x +16
TRASH CAN METHOD
Step 1: Factor out GCF
Step 2: Use Diamond
Step 3: Rewrite
16
8
Step 4: Factor out GCFs
2
10
Step 5: Take out Trash!
( )( )
x
x
+ 2
+ 8
1
1
( )( )
x + 2
x + 8
3. Factor
3x2- 5x-12
TRASH CAN METHOD
Step 1: Factor out GCF
Step 2: Use Diamond
Step 3: Rewrite
-36
4
Step 4: Factor out GCFs
-9
-5
Step 5: Take out Trash!
( )( )
3x
3x
-9
+ 4
3
1
( )( )
3x + 4
x 3
4. Factor
x2 -36
TRASH CAN METHOD
Step 1: Factor out GCF
Step 2: Use Diamond
Step 3: Rewrite
-36
-6
Step 4: Factor out GCFs
6
0
Step 5: Take out Trash!
( )( )
x
x
+ 6
-6
1
1
( )( )
x 6
x + 6
5. What are we doing today Mr. Morgan?
If at first you dont succeed, try, try, try, and try again.
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
S.O.A.R
Agenda/Morgan Daily News/Binder Checks
Post Test Standard 11.0
Introduction to Unit 8: Rational Expressions
CN: Simplifying Rational Expressions
Homework Club Meeting
6. PREPARE CORNELL NOTES
Simplifying Rational Expressions
Mr. Morgan Algebra ICA Standard 12.0Who uses this? Rational
Expressions can be used to find the volume to surface area ratio of
many plants and animals like a hummingbird or even ratios for
healthy living like working out.
7. Unit 8: Rational Expressions
Vocabulary
Rational Expressions
Common Factors
8. Unit 8: Rational Expressions
Rational Expressions
Rational expressions are fractions with polynomials on the top and
bottom.
Like
2+10+16
32512
9. Unit 8: Rational Expressions
Simplifying Rational Expressions
Step 1: Factor the top and bottom
Step 2: Slash out common factors
Like
Slashing means dividing out common factors.
Dividing common factors leaves you with 1
1
Ex. (x + 3)
(x + 3)
1
+8
2(x 4)
+2+8
2(x 4)(x + 2)
+8
2(x 4)
=
10. Example 1: Factor and Slash!
Simplify each rational expression, if possible.
A.
B.
Factor the numerator
and the denominator
when possible.
Divide out common factors.
Simplify.
11. You Try! Factor and Slash!
Simplify each rational expression, if possible.
a.
b.
Factor the numerator
and the denominator
when possible.
CW
Divide out common factors.
Simplify.
12. CLEAN!
13. Questions & Summary
QUESTIONS & SUMMARY
1)Input questions and key concepts to the left.
2)Underline key words or finish incompletenotes
3) Briefly summarize the lecture notes.
14. HOMEWORK CLUB
Homework
1
Reading
2
Reminders
3
3:00 4:00pm
extra credit
15. Read Chapter 10-3 16. Read Chapter 10-4 17. Do page 646-648
#11-16, 71
Due Thursday/Friday
18. S.O.A.R. ActivityFactoring PolynomialsFind the factors of the
following polynomials
STARTOFF
ALLRIGHT
1)245
2) 5227
3)281
(5)(+1)
(57)(+1)
(+9)(9)
Use your notes!!!
19. HOMEWORK CLUB
Homework
1
Reading
2
Reminders
3
3:00 4:00pm
extra credit
20. Read Chapter 10-3 21. Read Chapter 10-4 22. Do page
647#32-36
Due Tuesday/Wednesday