Factoring Jeopardy

Greatest Common Factor

100

2x² + 14

2(x² + 7)

200

8a - 16

8(a - 2)

300

5z² - 50z

5z(z - 10)

400

9x³ - 45x²

9x²(x - 5)

500

3x²y² + 9xy³

3xy²(x + 3y)

General Trinomials a = 1

100

To factor the trinomial x²+8x+16 you find two numbers that multiply to 16 and add to...

8

200

x² + 8x + 12 

(x + 2)(x + 6)

300

x² - 6x + 8

(x - 4)(x - 2)

400

x² - 10x - 24 

(x - 12)(x + 2)

500

x² - 13x + 40

(x - 8)(x - 5)

General Trinomials a > 1 (slip slide)

100

3x² + 20x + 12

(3x+2)(x+6)

200

3x² - 19x - 14 

(3x + 2)(x - 7)

300

2x² - 7x - 15

(2x + 3)(x - 5)

400

8x² + 18x + 9

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

500

16x² - 8x + 1

(4x - 1)(4x - 1)

Difference of Squares

100

x² - 9

(x + 3)(x - 3)

200

x² - 25

(x + 5)(x - 5)

300

x² - 100

(x + 10)(x - 10)

400

81x² - 49

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

500

64x² - 25y²

(8x + 5y)(8x - 5y)

Grouping

100

3x³ + 12x² + 2x + 8

(x + 4)(3x² + 2)

200

x³ - 5x² + 4x - 20

(x - 5)(x² + 4)

300

6x³ + 2x² + 15x + 5

(3x + 1)(2x² + 5)

400

5x³ + 5x² - 4x - 4

(x + 1)(5x² - 4)

500

20x³ - 12x² - 25x + 15

(5x - 3)(4x² - 5)