1. Warm Up – do not have the same graph as your partner.

2. Factoring Polynomials
6-6
Factoring Polynomials
SWBAT Use the Factor Theorem to determine factors of a polynomial.
SWBAT Factor the sum and difference of two cubes.
Holt McDougal Algebra 2
Holt Algebra 2

3. Factoring Techniques Technique General Case Any GCF
Number of Items
Technique
General Case
Any
GCF
(always check first)
2ax + 4x = 2x(a+2) 2
Difference of Squares
a2 – b2 = (a – b)(a+b)
Sum of Cubes
a3 + b3 = (a + b)(a2 – ab + b2)
Difference of Cubes
a3 – b3 = (a – b)(a2 + ab + b2)

4. GCF
6x2y2 – 2xy2 + 6x2y
Try on your own: 18x3y4 + 12x2y3 – 6xy2

5. Factoring by Grouping
1. x3 – x2 – 25x + 25.
2. x3 – 2x2 – 9xy + 18y.
3. 2x3y + x2y + 8x + 4.

6. Two or Three Terms
8x3 – 24x2 + 18x
m6 – n6

7. Two or Three Terms
x2 – 13x + 36
2x2 – 3x – 2

8. Write in Quadratic Form then solve
x4 – 13x = 0
(x2)2 + 13(x) = 0
(x2 – 4)(x2 – 9) = 0
x = ±2 x = ± 3
12x8 – x2 + 10
Cannot do

9. Factoring the Sum or Difference of Two Cubes
Factor the expression.
1. 4x x
d3 – 8
3. 2x5 – 16x2

10. Did We Reach Our Objective?
Evaluate polynomial functions.
Identify general shapes of graphs.

11. Homework
Page 353
#14-23, 30
Bring Book Tomorrow

12. Warm Up –
Find a counterexample to the statement: a2 + b2 = (a + b)2
Explain how you would solve:
|a – 3|2 - 9|a – 3| = -8
Then solve.

13. Factoring Polynomials
6-6
Factoring Polynomials
SWBAT Use the Factor Theorem to determine factors of a polynomial.
SWBAT Factor the sum and difference of two cubes.
Holt McDougal Algebra 2
Holt Algebra 2

14. Think – Pair – Share pg 353 #1-12
10 minutes: Work on your own (no talking)
10 minutes: Check Answers with Group
Each Group will share 4 answers each on certain section on board.

15. Page 353 #1-12

16. Did We Reach Our Objective?
Evaluate polynomial functions.
Identify general shapes of graphs.

17. Homework
Review