1. Quadratics WKST 1

2. Quadratics WKST –9 2

3. Quadratics WKST
(x)2 + 1 3

4. Worksheet Key 1. 2. 3. 4. 5. 6. 7. 8. 9.
10.
11.
12.
13. 4

5. 4.3: Factoring and Solving when a = 1
Example 10
A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding land as shown. What are the dimensions of the field? x
600 m
400 m
11/29/2018 6:30 PM
4.3: Factoring and Solving when a = 1 5

6. 4.3: Factoring and Solving when a = 1
Example 10
A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding land as shown. What are the dimensions of the field? x
600 m
400 m
11/29/2018 6:30 PM
4.3: Factoring and Solving when a = 1 6

7. 5.3 - Solving Quadratic Equations by Factoring
Solving Quadratic Equations when a > 1 and by factoring with GCF
Section 4.4
11/29/2018 6:30 PM
5.3 - Solving Quadratic Equations by Factoring

8. Factoring Steps when a>1
Make sure the equation is all on ONE side
Determine if there is a GCF
Determine the Target Product and Target Sum of the equation
Multiply the First and Last Term
Ensure the terms adds to the middle and multiplies the end
Rewrite the problem with the new middle terms
Make sure that one of the binomials is the same on both sides
Factor by Grouping by Splitting the Terms
Combine like terms and multiply 8

9. What number adds up to +5 and multiplies to +4
Example 1
Factor 2x2 + 5x + 2
PRODUCT
SUM
What number adds up to +5 and multiplies to +4 9

10. This sign should ALWAYS be bought down
Example 1
Factor 2x2 + 5x + 2
You must add an X to the middle term because it has to match the original equation
This sign should ALWAYS be bought down 10

11. Example 2
Factor 3x2 + 20x – 7 11

12. Example 3
Factor 2x2 – 9 – 3x 12

13. Your Turn
Factor 4x2 + 4x – 3 13

14. Don’t forget the xy in the middle
Example 4
Solve 3x2 + 10x – 8 = 0
Don’t forget the xy in the middle 14

15. Example 5
Solve 5x2 – 27x = 18 15

16. Your Turn
Solve 4x2 – 10x + 15 = 10x – 10 16

17. Don’t forget the xy in the middle
Example 6
Solve 16x2 – 1 = 0
Don’t forget the xy in the middle 17

18. Example 7
Solve 9x2 – 64 = 0 18

19. Your Turn
Solve 36x2 – 9 = 0 19

20. Don’t forget the xy in the middle
Example 8
Factor 8x2 – 14xy + 3y2
Don’t forget the xy in the middle 20

21. Your Turn
Factor 6xy2 + 33xy – 18x… 21

22. Example 9
You have made a rectangular quilt that is 5 feet by 4 feet. You want to use the remaining 10 square feet of fabric to add border of uniform width to the quilt. What should the width of the quilt’s border be? 22

23. Example 9
You have made a rectangular quilt that is 5 feet by 4 feet. You want to use the remaining 10 square feet of fabric to add border of uniform width to the quilt. What should the width of the quilt’s border be? 23

24. Assignment
Page 263
3-19 EOO, odd, EOO 24