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11.3 - Factoring General Trinomials
Factoring Trinomials 2x bx c
Factors of 9 are:
4 x x
4 3 3x x
24 24 36x x
24 6 9x x
REVIEW:
1, 9 3, 3
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:
REVIEW:
1, 6 2, 3
11.3 - Factoring General Trinomials
Factoring Trinomials 2ax bx c
Factors of 5 are:
x x
2 1 2 5x x
24 12 5x x
Factors of 4 are:
1, 5
1, 4 2, 2
11.3 - Factoring General Trinomials
Factoring Trinomials 2ax bx c
Factors of 12 are:
x x
4 2 3x x
22 11 12x x
Factors of 2 are:
1, 12 2, 6 3, 4
1, 2
11.3 - Factoring General Trinomials
Factoring Trinomials 2ax bx c
Factors of 4 are:
x x
5 2 7 2x x
235 4 4x x
Factors of 35 are:
1, 4 2,2
1, 35 5, 7
11.3 - Factoring General Trinomials
Factoring Trinomials 2ax bx c
Factors of 3 are:
a b a b
2 3 6a b a b
2 212 16 3a ab b
Factors of 12 are:
1, 3
1, 12 2, 6 3, 4
11.3 - Factoring General Trinomials
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
6 6x x
2 12 36x x
Not a perfect square
36132 xx
94 xx
26x
x x x x
Perfect Square Trinomials
Not a perfect square
1682 xx
44 xx
16102 xx
82 xx
24x
x x x x
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
Perfect Square Trinomials
2 18 81x x
9 9x x
29 42 49x x
3 7 3 7x x
29x 273 x
x x x x
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
Perfect Square Trinomials
3 1 3 1s s 29 1s
2 81p
24 100x
9 9p p
Not the difference
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
The Difference of Two Squares
3 38 8
5 5c c
2 9
6425
c
2 2121 49x y 11 7 11 7x y x y
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
The Difference of Two Squares
448 3x 43 16 1x
2 23 4 1 4 1x x
23 4 1 2 1 2 1x x x
2 13p
13 13p p
11.5 – Factoring Perfect Square Trinomials and the Difference of Two Squares
The Difference of Two Squares