Factoring Jeopardy

Greatest Common Factor

100

The result of factoring: 2x² + 14

2(x² + 7)

200

The result of factoring:
8a - 16

8(a - 2)

300

The result of factoring: 
25z² - 125xz

25z(z - 5x)

400

The result of factoring:
9x² - 45x + 9

9(x² - 5x + 1)

500

The result of factoring:
15x² + 5x

5x(3x + 1)

Trinomial(a=1)

100

The result of factoring: 

x² + 8x + 16 

(x+4)(x+4)

200

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

300

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

400

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

500

The result of factoring:

x² - 14x - 72

(x - 18)(x + 4)

Difference of Squares

100

The result of factoring: 16x^{2 -} t²

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

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
x² - 100

(x - 10)(x + 10)

400

The result of factoring:
81x² - 49

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

500

The result of factoring:
64x² - 36

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

Grouping

100

The result of factoring: 

x³ - x² - 3x + 3

(x² - 3)(x - 1)

200

The result of factoring:

x³ + 2x² - 5x - 10

(x² - 5)(x + 2)

300

The result of factoring:

16x² + 24x + 4xy + 6y

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

400

The result of factoring:

48x³ + 24x² - 18x - 9

3(8x² - 3)(2x + 1)

500

The result of factoring:

12x⁵ + 28x⁴y + 3x⁴ + 7x³y

x³(3x + 7y)(4x + 1)

Trinomials(a not =1)

100

The result of factoring:

6x² -5x -4

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

200

The result of factoring:

2x² +11x +12

(2x+3)(x+4)

300

The result of factoring:

3x² +16x -12

(x+6)(3x-2)

400

The result of factoring:

5x² -21x +18

(x-3)(5x-6)

500

The result of factoring:

4x² +24x +11

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

Multi-Step Factoring

100

The result of factoring:

3x² - 27

3(x - 3)(x + 3)

200

The result of factoring:

36x² - 9

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

300

The result of factoring:

4x³ - 28x² - 9x + 63

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

400

The result of factoring:

3x² - 15x + 12

3(x - 4)(x - 1)

500

The result of factoring:

3x³ + 30x² + 63x

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