This document provides examples for factoring trinomial equations with negative terms. It begins with an example trinomial equation of 3x^2 - 25x + 8 = 0 and shows the steps to factor it into the form (x + 2)(x + 3) = 0, finding the solutions x = -2 or -3. It then provides another example of converting a trinomial expression into an algebra tile representation to factor it.

1. Example Slides

2. quot;Factoring Trinomialsquot;
AIM:
How do we solve Trinomial Equations
with negative Xs?
example: 3x2 - 25x + 8 = 0

3. x 2 + 5x + 6 = 0
1
SUMMARY
x 2
x
x
2 1 1
x
1 1
x
1 1
x
3 (x + 2)(x + 3) = 0
x = -2 or -3
4 ANSWER:

4. Example 1

5. (x + 2)(x + 3) = 0

6. (x + 2)(x + 3) = 0
0•(x + 3) = 0 ?

7. (x + 2)(x + 3) = 0
x + 2 = 0 0•(x + 3) = 0
x = -2

8. (x + 2)(x + 3) = 0
x + 2 = 0 0•(x + 3) = 0
x = -2
(x + 2)•0 = 0 ?

9. (x + 2)(x + 3) = 0
x + 2 = 0 0•(x + 3) = 0
x = -2
x + 3 = 0 (x + 2)•0 = 0
x = -3

10. (x + 2)(x + 3) = 0
x + 2 = 0 0•(x + 3) = 0
x = -2
x + 3 = 0 (x + 2)•0 = 0
x = -3
x = -2 or -3

11. Example 2

12. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
-1 -1 -1
-1 -1 -1
+x2
x

13. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
+x2
-1 -1 -1 -1 -1 -1
x

14. ert to Algebra Tiles
+x2
Try and make a rectangle
x
x 2 +x-6
-1
-1
-1
-1
-1
-1

15. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
-1 -1 -1
-1 -1 -1
+x2
x

16. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
-1 -1 -1
-1 -1 -1
+x2
-x
x
x

17. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
+x2
x
x
-x -1 -1 -1
-1 -1 -1

18. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
-1 -1 -1
-1 -1 -1
+x2 -x
x
x

19. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
-1 -1 -1
-1 -1 -1
+x2
-x
-x
x
x
x

20. Convert to Algebra Tiles
Try and make a rectangle
x 2 +x-6
+x2
x
x
x
-x -1 -1 -1
-x -1 -1 -1

21. Questions

22. Answer these questions in the Google Form
1. x+6=0
2. x-6=0
3. 5+x=0
4. -8 - x = 0

23. Answer these questions in the Google Form
5. What is the
height these
+x2
x
x
x
algebra tiles?
6. What is the -x -1 -1 -1
width these -x -1 -1 -1
algebra tiles? -x -1 -1 -1
7. What will the binomial multiplication be?

24. x 2 + 7x + 12 = 0
8. What will this equation be in
binomial multiplication form?
9. Find x. (What does x equal?)

25. x 2 - 3x + 10 = 0
10. What will this equation be in
binomial multiplication form?
11. Find x. (What does x equal?)

26. x 2 + 4x + 12 = 0
12. What will this equation be in
binomial multiplication form?
13. Find x. (What does x equal?)