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