Algebra II Factoring Jeopardy!

Basic Factoring

100

3x+6

3(x+2)

200

4x+24

4(x+6)

300

10x+100

10(x+10)

400

32x+36

4(8x+9)

500

17x+51

17(x+3)

Difference of Two Squares

100

x² - 4

(x+2)(x-2)

200

4x² - 9

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

300

x² - 169

(x+13)(x-13)

400

36x⁴ - 100x²

4x²(3x+5)(3x-5)

500

300 - 27x²

3(10-3x)(10+3x)

Complete the Square

100

2x² - 12x + 26 = 10

x = 2

x = 4

200

2x² + 20x - 52 = -4

x = -12

x = 2

300

6x² + 12x -81 = 9

x = -5

x= 3

400

x² + 14x + 47 = 7

x = -10

x - -4

500

7x² - 14x - 64 = -8

x = -2

x = 4

Trinomial Factoring A = 1

100

x² + 8x + 15

(x+5)(x+3)

200

x² + 9x + 20

(x+5)(x+4)

300

x² + 10x + 24

(x+4)(x+6)

400

x² - 7x + 10

(x-5)(x-2)

500

x² - 7x + 12

(x-4)(x-3)

Trinomial Factoring A >1

100

6x² - 8x - 8

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

200

30x² - 8x - 6

(5x - 3)(6x+2)

300

2x² + 6x - 36

2(x+6)(x-3)

400

2x² - 13x + 15

(2x - 3)(x-5)

500

2x⁴ + 11x³ + 5x²

x²(x+5)(2x+1)