Greatest Common Factor
Trinomial
(a=1)
Difference of Squares
Grouping
Trinomials
(a not =1)
Multi-Step Factoring
Ms. K Lore
100

The result of factoring: 2x2 + 14

2(x2 + 7)

100

To factor the trinomial x+ 8x + 16 you find two numbers that add to 8 but multiply to this...

16

100

The result of factoring: 16x+ t2

(4x - t)(4x + t)

100

The result of factoring: 

x3 - x2 - 3x + 3

(x2 - 3)(x - 1)

100

The result of factoring:

6x2 -5x -4

(2x-1)(3x+4)

100

The result of factoring:

3x- 121

3(x - 11)(x + 11)

100

The number of Ms. K's cats

2

200

The result of factoring:
8a - 16

8(a - 2)

200

The result of factoring:
x+ 8x + 12 

(x + 2)(x + 6)

200

The result of factoring:
x- 25

(x - 5)(x + 5)

200

The result of factoring:

x+ 2x- 5x - 10

(x- 5)(x + 2)

200

The result of factoring:

2x2 +11x +12

(2x+3)(x+4)

200

The result of factoring:

36x- 9

9(2x + 1)(2x - 1)

200

Ms. K's main instrument

violin
300

The GCF of:
25z2 - 125xz

25z

300

The result of factoring:
x- 6x + 8

(x - 4)(x - 2)

300

The result of factoring:
x- 100

(x - 10)(x + 10)

300

The result of factoring:

8x+ 12x + 2xy + 3y

(4x + y)(2x + 3)

300

The result of factoring:

3x2 +16x -12

(x+6)(3x-2)

300

The result of factoring:

4x- 28x- 9x + 63

(2x + 3)(2x - 3)(x - 7)

300

Ms. K's favorite genre of music

metal/rock

400

The result of factoring:
9x- 45x + 9

9(x- 5x + 1)

400

The result of factoring:
x- 10x - 24 

(x - 12)(x + 2)

400

The result of factoring:
81x- 49

(9x - 7)(9x + 7)

400

The result of factoring:

16x+ 8x- 6x - 3

(8x- 3)(2x + 1)

400

The result of factoring:

5x2 -21x +18

(x-3)(5x-6)

400

The result of factoring:

3x- 15x + 12

3(x - 4)(x - 1)

400

Ms. K's favorite parts of math

Category/type theory


500

The result of factoring:
-15x+ 5x

-5x(3x - 1)

500

The result of factoring:

x- 14x - 72

(x - 18)(x + 4)

500

The result of factoring:
64x2 - 36

4(4x + 3)(4x - 3)

500

The result of factoring:

12x+ 28xy + 3x + 7y

(3x + 7y)(4x + 1)

500

The result of factoring:

4x2 +24x +11

(2x+11)(2x+1)

500

The result of factoring:

3x+ 30x+ 63x

3x(x + 7)(x + 3)

500

Ms. K's favorite sport

Rock climbing

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