![Page 1: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/1.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
Warm Up
1. Which pair of factors of 8 has a sum of 9?
2. Which pair of factors of 30 has a sum of –17?
Multiply.
1 and 8
r2 – 4r – 45
–2 and –15
x2 + 5x + 63. (x +2)(x +3)
4. (r + 5)(r – 9)
![Page 2: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/2.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
Simplify.
c.
5
41 4 4m
mn
n
![Page 3: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/3.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
Factor quadratic trinomials of the form x2 + bx + c.
Objective
![Page 4: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/4.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
Factor each trinomial by guess and check.x2 + 10x + 24
4 6x x
ProductSum
![Page 5: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/5.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
3 4x x
ProductSum
Factor each trinomial by guess and check.x2 + 7x + 12
![Page 6: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/6.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
x2 + 6x + 5
Factor each trinomial. Check your answer.
1 5x x
![Page 7: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/7.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
3 3x x ProductSum
Factor each trinomial. Check your answer.
x2 + 6x + 9
23x
![Page 8: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/8.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
5 3x x
Factor each trinomial. Check your answer.
x2 – 8x + 15
![Page 9: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/9.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
3 2x x
Factor each trinomial. Check your answer.
x2 – 5x + 6
![Page 10: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/10.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
6 7x x
Factor each trinomial. Check your answer.
x2 + 13x + 42
![Page 11: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/11.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
8 5x x
Factor each trinomial. Check your answer.
x2 – 13x + 40
![Page 12: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/12.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
4 5x x
Factor
x2 + x – 20
![Page 13: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/13.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
6 3x x
Factor each trinomial.
x2 – 3x – 18
![Page 14: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/14.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
3 5x x
Factor each trinomial. Check your answer.
x2 + 2x – 15
![Page 15: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/15.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
4 2x x
Factor each trinomial. Check your answer.
x2 – 6x + 8
![Page 16: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/16.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
ProductSum
10 2x x
X2 – 8x – 20
Factor each trinomial. Check your answer.
![Page 17: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/17.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
A polynomial and the factored form of the polynomial are equivalent expressions. When you evaluate these two expressions for the same value of the variable, the results are the same.
![Page 18: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/18.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
3 7y y
Factor y2 + 10y + 21. Show that the original polynomial and the factored form have the same value for y = 0, 1, 2, 3, and 4.
![Page 19: Holt Algebra 1 8-3 Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply](https://reader036.vdocument.in/reader036/viewer/2022062714/56649cf95503460f949ca48c/html5/thumbnails/19.jpg)
Holt Algebra 1
8-3 Factoring x2 + bx + c
Evaluate the original polynomial and the factored form for y = 0, 1, 2, 3, and 4.
(y + 7)(y + 3)
(0 + 7)(0 + 3) = 21
(1 + 7)(1 + 3) = 32
(2 + 7)(2 + 3) = 45
(3 + 7)(3 + 3) = 60
(4 + 7)(4 + 3) = 77
y
0
1
2
3
4
y2 + 10y + 21
02 + 10(0) + 21 = 21
y
0
1
2
3
4
12 + 10(1) + 21 = 32
22 + 10(2) + 21 = 45
32 + 10(3) + 21 = 60
42 + 10(4) + 21 = 77
The original polynomial and the factored form have the same value for the given values of n.
HW pp.544-547/17-49 odd,53,62-76,77-83 odd,86-94