warm–up #9. solve by factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor =...
TRANSCRIPT
![Page 1: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/1.jpg)
Warm–up #91. Solve by Factoring
2. Solve by Completing the Square
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Solve by Factoring1.
x(2x(x – 4) – 7(x – 4)) = 0
x(2x – 7)(x – 4) = 0
x = 0 2x – 7 = 0 x – 4 = 0
{0, 4, }
2 #s that mult to56
–15 & add to
–8 –7
set each factor = 0
Common factor first
Make = 0!!!
![Page 3: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/3.jpg)
=
Solve by Completing the Square
2.
2 2 2
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![Page 4: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/4.jpg)
Homework LogWed
10/14
Lesson 2 – 4
Learning Objective: To solve quadratic forms
Hw: #210 Pg. 128 #12, 24, 36, 37 – 51 odd, WS # 8 – 10
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10/14/15 Lesson 2 – 4 Quadratic Form Day 2
Advanced Math/Trig
![Page 6: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/6.jpg)
Learning Objective
To solve quadratic equations in quadratic form
![Page 7: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/7.jpg)
Solve by Factoring1.
4u(u – 1) – 9(u – 1) = 0
(4u – 9)(u – 1) = 0
Make = 0 first
It has quadratic form
Let 2 #s that mult to3
6
–13& add to
–4 –9
![Page 8: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/8.jpg)
Solve by Factoring1. (4u – 9)(u – 1) = 0
(2x – 3)(2x + 3)(x + 1)(x – 1) = 0
2x – 3 = 0 2x + 3 = 0 x + 1 = 0 x – 1 = 0
Now replace u with
4 Answers!!
Highest Power is 4!!
![Page 9: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/9.jpg)
Solve by Factoring2.
u(u + 8) – 1(u + 8) = 0
(u – 1)(u + 8) = 0
Let
2 #s that mult to–8
7& add to
8 –1
![Page 10: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/10.jpg)
Solve by Factoring2. (u – 1)(u + 8) = 0
1
Now replace u with
Solve by completing the square!
Diff & Sum of Cubes!
1 11
![Page 11: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/11.jpg)
Solve by Factoring2.
x – 1 =
x = x = 6 Answers!!
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![Page 12: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/12.jpg)
Solve by Factoring3.
2u(u + 3) + 1(u + 3) = 0
(2u + 1)(u + 3) = 0
Let
2 #s that mult to6
7& add to
6 1
![Page 13: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/13.jpg)
Solve by Factoring3. (2u + 1)(u + 3) = 0
2 = –x 1 = –3x
Now replace u with
2 Answers!!
![Page 14: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/14.jpg)
Solve by Factoring4.
u(u – 7) + 9(u – 7) = 0
(u – 7)(u + 9) = 0
Let
2 #s that mult to–63
2& add to
–7 9
![Page 15: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/15.jpg)
Solve by Factoring4. (u – 7)(u + 9) = 0
((x – 4) – 7)((x – 4) + 9) = 0
(x – 11)(x + 5) = 0
x – 11 = 0 x + 5 = 0
{– 5, 11}
Now replace u with
2 Answers!!
Highest Power is 2!!
![Page 16: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/16.jpg)
Solve by Factoring5.
(u – 4) (u + 4) = 0
(
(x – 2)(x + 2)() = 0
Let
Diff of Squares
Replace u with
x =
![Page 17: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/17.jpg)
Solve by Factoring6.
2u(2u + 7) + 5(2u + 7) = 0
(2u + 7)(2u + 5) = 0
Let
2 #s that mult to14
0
24& add to
14
10
![Page 18: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/18.jpg)
Solve by Factoring6. (2u + 7)(2u + 5) = 0
(2(3x – 2) + 7)(2(3x – 2) + 5) = 0
(6x – 4 + 7)(6x – 4 + 5) = 0
(6x + 3)(6x + 1) = 0
6x + 3 = 0 6x + 1 = 0
Replace u with
![Page 19: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/19.jpg)
Solve by Factoring7.
3(5u(4u – 9) – 1(4u – 9) = 0
3(4u – 9)(5u – 1) = 0
Make = 0 first
Factor out GCF!
Let
2 #s that mult to180
–49& add to
–45 –4
![Page 20: Warm–up #9. Solve by Factoring 2 #s that mult to 56 –15 & add to –8 –7 set each factor = 0 Common factor first Make = 0!!!](https://reader035.vdocuments.mx/reader035/viewer/2022062805/5697c0271a28abf838cd6695/html5/thumbnails/20.jpg)
Solve by Factoring7. 3(4u – 9)(5u – 1) = 0
3(2x – 3)(2x + 3)(5) = 0
2x – 3 = 0 2x + 3 = 0 5
Now replace u with
5
=
=
x =
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Ticket Out the Door
Solve
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Homework
#210 Pg. 128 #12, 24, 36, 37 – 51 odd, WS # 8 – 10