11.1 – the greatest common factor (gcf) constants
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11.1 – The Greatest Common Factor (GCF)
45 and 75 32 and 33
14, 24 and 60
15 1
2
GCF GCF
GCF
Constants
4 6andx x 7 12 3, anda a a
8 5 9, andy y y
4x 3a
5y
GCF GCF
GCF
11.1 – The Greatest Common Factor (GCF)
Variables
2 4 56 , 9 and 12x x x
3 4 5 2 4 6, anda b a b a b
6 416 , 20 and 40y y y
3 2x
4 y
3a 2b
GCF
GCF
GCF
11.1 – The Greatest Common Factor (GCF)
10 25y
3 210 8 2x x x
4 9x x
2 x
5
4x
GCF
GCF
GCF
11.1 – The Greatest Common Factor (GCF)
34 12a a
5 3 22 4 1
5 5 5m m m
3 3 2 2 46 3 9x y x y x y
4a
3 2x y
1
52m
GCF
GCF
GCF
11.1 – The Greatest Common Factor (GCF)
7 2 2p n p 2p GCF
11.1 – The Greatest Common Factor (GCF)
Factoring Trinomials
4 5x x
2x bx c 2 5 4 20x x x 2 9 20x x
4 5x x 2 209x x
20 is the result of the product of 4 and 5.
9 is the result of the sum of 4 and 5.
Factors of 20 are: 1, 20 2,10 4, 5
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 10 24x x
Factors of 24 are:
x x
4 6x x
1, 24 2, 12 3, 8 4, 6
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 23 22x x
Factors of 22 are:
x x
1 22x x
1, 22 2, 11
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 27 50x x
Factors of 50 are:
x x
2 25x x
1, 50 2, 25 5,10
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 5 36x x
Factors of 36 are:
x x
4 9x x
1, 36 2, 18 3, 12 4, 9 6, 6
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 3 40q q
Factors of 40 are:
q q
5 8q q
1, 40 2, 20 4,10 5, 8
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
2 213 30a ab b
Factors of 30 are:
a b a b
3 10a b a b
1, 30 2, 15 3, 10 5, 6
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
Factors of 9 are:
4 x x
4 3 3x x
24 24 36x x
24 6 9x x
1, 9 3, 3
11.2 – Factoring Trinomials with a = 1
Factoring Trinomials 2x bx c
35x x x
35 1 6x x x
5 4 35 25 30x x x
3 25 5 6x x x
Factors of 6 are: 1, 6 2, 3
11.2 – Factoring Trinomials with a = 1