Factoring Jeopardy

GCF

100

Factor:

18x + 27

9(2x + 3)

200

Factor:

4x² - 8x

4x(x - 2)

300

Factor:

9x⁴ - 18x³ + 27x²

9x²(x² - 2x + 3)

400

Factor:

3a²b + 9ab² - 18ab

3ab(a + 3b - 6)

500

Factor:

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Grouping

100

Factor:

x³ - 2x² + 5x - 10

(x - 2)(x² + 5)

200

Factor:

x³ - x² + 2x - 2

(x - 1)(x² + 2)

300

Factor:

x³ + 6x² - 2x - 12

(x + 6)(x² - 2)

400

Factor:

3x³ - 2x² - 6x + 4

(3x - 2)(x² - 2)

500

Factor the Trinomial with the AC Method:

6x² - 11x + 4

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

Trinomial

100

Factor:

x² + 5x + 6

(x + 2)(x + 3)

200

Factor:

x² - 14x + 49

(x - 7)(x - 7)

OR

(x - 7)²

300

Factor:

x² - 2x - 15

(x - 5)(x + 3)

400

Factor:

3x² - 2x - 5

(3x - 5)(x + 1)

500

Factor:

9x² + 5x - 4

(9x - 4)(x+ 1)

Binomial

100

Factor:

x² - 100

(x + 10)(x - 10)

200

Factor:

36x² - 49

(6x + 7)(6x - 7)

300

Factor:

x² + 4

PRIME

400

Factor:

16x⁴ - 81

(4x² + 9)(4x² - 9)

Which we can factor further

(4x² + 9)(2x + 3)(2x - 3)

500

Factor:

8x³ + 125

(2x + 5)(4x² - 10x + 25)

Equations

100

Solve:

2x + 3 = 17

x = 7

200

Solve:

3(x - 2) + 7 = 2(x + 5)

x = 9

300

Solve:

x/3 = x/2 - 2

x = 12

400

Solve: 

4x² - 2x = 0

x = 0 or x = 1/2

Solution Set: {0, 1/2}

500

Solve:

2x² + 7x = 4

x = 1/2 or x = -4

Solution Set: {-4, 1/2}