SJAM Factoring Jeopardy!

Common Factoring

100

3x - 21

3(x - 7)

200

6x² - 15x

3x(2x - 5)

300

a(a + b) - (a + b)

(a + b) (a - 1)

400

24x²y - 36xy²

12xy(2x - 3y)

500

25a³b² – 10a²b³ + 15a²b²

5a²b²(5a - 2b + 3)

Grouping

100

2(a + b) – 7c(a + b)

(a + b) (2 - 7c)

200

10x³ – 6x² + 5x – 3

(5x - 3)(2x² +1)

300

28x² – 16xy + 21x – 12y

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

400

(x + y)² + 4x + 4y

(x + y)(x + y + 4)

500

xm – yn – xn + ym

(x + y)(m - n)

Simple Trinomial

100

x² + 5x + 6

(x + 2)(x + 3)

200

x² – 5x – 24

(x - 8)(x + 3)

300

x² – 10xy – 24y²

(x - 12y)(x + 2y)

400

16 – 6x – x²

(8 + x)(2 - x)

500

x⁴ – 13x – 48

(x² - 16)(x² + 3)

Tricky Trinomial

100

2m² + 7m + 3

(2m + 1)(m + 3)

200

6x² + 11x – 10

(2x + 5)(3x - 2)

300

2x² + 11x + 12

(2x + 3)(x + 4)

400

32a² – 92a + 45

(8x - 5)(4x - 9)

500

10x² – 29xy + 21y²

(5x - 7y)(2x - 3y)

Special Quadratics

100

x² - 49

(x + 7)(x - 7)

200

4z² + 25

not factorable!

300

x² – 12x + 36

(x - 6)²

400

x⁸ - 1

(x⁴ + 4)(x² +1)(x +1)(x - 1)

500

(a - b)² - 64

(a - b + 8)(a - b - 8)