1. Unit 2 Algebra Investigations
Lesson 2: Factoring Polynomials and Expanding Polynomials
Notes 2.8: Factor Special Products

2. (Ex 1) Factor by dividing out greatest common factor
(Ex 1) Factor by dividing out greatest common factor. {ADD THIS TO NOTES!!}
Factor the following:
a) 3x3 + 6x2 + 9x b) x3 + 5x
c) 16x2 – 8x + 4 d) 7x4 – 21x2

3. Checkpoint: Factor the polynomial.
1) 10x3 – 20x ) 49y3 – 7y
3) 3c2 – 9d2

4. SPECIAL PRODUCTS (Factor)
Difference of Two Squares pattern:
a2 – b2 = (a + b)(a – b)
Perfect square trinomial pattern:
a2 + 2ab + b2 = (a + b)2
a2 – 2ab + b2 = (a – b)2

5. (Ex 2) Factor the difference of squares.
Factor the polynomial:
z2 – 81 b) 16x2 – 9

6. (Ex 2) Factor the difference of squares.
Factor the polynomial:
a2 – 26b2 d) 4 – 16n2

7. Checkpoint: Factor the polynomial.
1) x2 – ) 49y2 – 25
3) c2 – 9d2 4) 45 – 80m2

8. (Ex 3) Factor perfect square trinomials.
Factor the polynomial:
x2 – 10x b) y2 – 12y + 36

9. Checkpoint: Factor the polynomial.
5) x2 + 14x + 49
6) t2 – 22t + 121

10. (Ex 4) Factor perfect square trinomials.
Factor the polynomial:
4y2 – 12y + 9 b) -3z2 + 24z – 48

11. (Ex 4) Factor perfect square trinomials.
Factor the polynomial:
c) 49s2 + 56st + 16t2

12. Checkpoint: Factor the polynomial.
16x2 – 40xy + 25y2
8) -5r2 – 20r – 20

13. Assignment
WS 2.8 # 4-26 (even)