The document demonstrates factoring common binomials and trinomials through concrete, pictorial, and symbolic representations. Examples shown include factoring expressions such as x^2 + 5x + 4, x^2 + 6x + 8, -x^2 -x - 1, x^2 - 5x + 6, x^2 + x - 2, 2x^2 + 5x + 2, and 2x^2 + 7x - 4 by using concrete manipulatives, pictures, and symbolic notation to represent the factored forms.

1. Factoring Review 3
10I.A.5
Demonstrate an understanding
of common factors and
trinomial factoring, concretely,
pictorially, and symbolically.

2. AlgeTiles
x
x =x 2
1
x =x
1
1 =1

3. 2 x
x 1
x 2 + 5x + 4

4. 2 x 1
x
x 2 + 5x + 4
(x+4)(x+1)

5. x 2 + 6x + 8
(x+2)(x+4)

6. 2
-x -x -1

7. 2
x -5x + 6
(x-3)(x-2)

8. 2
x +x -2
(x+2)(x-1)

9. 2
2x + 5x + 2
(2x + 1)(x+2)

10. 2
2x +7x - 4
(2x-1)(x+4)