Factoring Jeopardy

GCF Factoring

100

12x + 18

6(2x + 3)

200

20x² − 15x

5x(4x − 3)

300

14a³b² − 21a²b

7a²b(2ab − 3)

400

5x+15+35x²

5(x+3+7x²)

500

18x+15

3(6x+5)

A=1 Factoring

100

x² + 9x + 14

(x + 7)(x + 2)

200

x² − 5x + 6

(x − 2)(x − 3)

300

y² + 2y − 15

(y + 5)(y − 3)

400

a²+3a-4

(x-2) (x-2) 

500

b²+7b+12

(x+3) (x+4) 

Box Method Factoring

100

6x²+11x+3

(3x+1) (2x+3) 

200

5x²-13x+6

(5x-3) (x-2) 

300

8x²+2x-3

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

400

3x²+7x+2

(3x+1) (x+2) 

500

5x²+11x+6

(1x+1) (5x+6) 

Factor by Grouping

100

x³ + 3x² + 2x + 6

(x² + 2)(x + 3)

200

3a³ − 6a² + 5a − 10

(3a² + 5)(a − 2)

300

xy + 5y + 2x + 10

(y + 2)(x + 5)

400

3n³-4n²+9n-12

(n²+3) (3n-4) 

500

35xy-5x-56x+8

(5x-8) (7y-1) 

Special Cases

100

x² + 10x + 25

(x + 5)²

200

49a² − 81

(7a − 9)(7a + 9)

300

4m²-25

(2m+5) (2m-5) 

400

100x²+180x+81

(10x+9)²

500

a²-9

(a²-3) (a²+3)