Solving Trinomial Equations with Negatives X Coefficient
-
Upload
jamesnorthrup -
Category
Education
-
view
3.427 -
download
3
description
Transcript of Solving Trinomial Equations with Negatives X Coefficient
![Page 1: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/1.jpg)
Example Slides
![Page 2: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/2.jpg)
"Factoring Trinomials"
AIM: How do we solve Trinomial Equations
with negative Xs?example: 3x2 - 25x + 8 = 0
![Page 3: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/3.jpg)
1
2
3
4
x2 + 5x + 6 = 0
x2
x
x x
x
x
1
1
1
1
1
1
(x + 2)(x + 3)= 0ANSWER: x = -2 or -3
SUM
MA
RY
![Page 4: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/4.jpg)
Example 1
![Page 5: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/5.jpg)
(x + 2)(x + 3)= 0
![Page 6: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/6.jpg)
(x + 2)(x + 3)= 00•(x + 3) = 0 ?
![Page 7: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/7.jpg)
(x + 2)(x + 3)= 00•(x + 3) = 0x + 2 = 0
x = -2
![Page 8: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/8.jpg)
(x + 2)(x + 3)= 00•(x + 3) = 0
(x + 2)•0 = 0 ?
x + 2 = 0x = -2
![Page 9: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/9.jpg)
(x + 2)(x + 3)= 00•(x + 3) = 0
(x + 2)•0 = 0
x + 2 = 0x = -2
x + 3 = 0x = -3
![Page 10: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/10.jpg)
(x + 2)(x + 3)= 0
x = -2 or -3
0•(x + 3) = 0
(x + 2)•0 = 0
x + 2 = 0x = -2
x + 3 = 0x = -3
![Page 11: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/11.jpg)
Example 2
![Page 12: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/12.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
![Page 13: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/13.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2
x -1 -1-1 -1-1 -1
x2 + x - 6
![Page 14: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/14.jpg)
Convert to Algebra TilesTry and make a rectangle +x2 x
-1
-1
-1
-1
-1
-1
x2 + x - 6
![Page 15: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/15.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
![Page 16: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/16.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x
![Page 17: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/17.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x
-1-1
-1-1
-1-1
x2 + x - 6
x
-x
![Page 18: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/18.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x
![Page 19: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/19.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x-1-1
-1-1
-1-1
x2 + x - 6
x -x x -x
![Page 20: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/20.jpg)
Convert to Algebra TilesTry and make a rectangle
+x2 x
-1-1
-1-1
-1-1
x2 + x - 6
x
-x
x
-x
![Page 21: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/21.jpg)
Questions
![Page 22: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/22.jpg)
Answer these questions in the Google Form
1. x + 6 = 02. x - 6 = 03. 5 + x = 04. -8 - x = 0
![Page 23: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/23.jpg)
Answer these questions in the Google Form
+x2 x
-1-1
-1-1
-1-1
x
-x
x
-x
-1 -1 -1-x
5. What is the height these algebra tiles?
6. What is the width these algebra tiles?
7. What will the binomial multiplication be?
![Page 24: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/24.jpg)
x2 + 7x + 12 = 08. What will this equation be in binomial multiplication form?
9. Find x. (What does x equal?)
![Page 25: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/25.jpg)
x2 - 3x + 10 = 010. What will this equation be in
binomial multiplication form?
11. Find x. (What does x equal?)
![Page 26: Solving Trinomial Equations with Negatives X Coefficient](https://reader033.fdocuments.net/reader033/viewer/2022051313/5481a79ab4af9fa00d8b45aa/html5/thumbnails/26.jpg)
x2 + 4x + 12 = 012. What will this equation be in
binomial multiplication form?
13. Find x. (What does x equal?)