Pre-College Algebra 5.5 A,B 5.6 A,B 5.7 A,B,C,D 5.8A 8.1A

The Great Pumpkin GCF

100

Factor: 3x² + 6x

3x(x + 2)

200

Factor: 7y² − 49y

7y(y-7)

300

Factor: 5x² - 25x

5x (x-5)

400

Factor Completely: 5x⁵ - 5x

5x(x - 1)(x + 1) (x² + 1)

500

Factor Completely:  x³ + 64 

(x + 4) (x² - 4x + 16)

Trick or Trinomials

100

Daily Double 

Factor: x² + 8x + 12

(x + 2)(x + 6)

200

Factor: y² - 12y + 36

(y − 6)²

300

Factor: 4x² - 2x - 12

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

400

Factor: 4y² -4ay -3a²

(2y + a)(2y - 3a)

500

Factor: 2y² − 8y + 2

2(y² − 4y + 1)

Special Products Power

100

Factor: 16x² − 49

(4x − 7)(4x + 7)

200

Factor 4x² - 20x + 25

(2x - 5)²

300

Factor: 9x² + 24x + 16

(3x+4)²

400

Factor: x² - 9x - 14

Boo!!!

It's Nonfactorable!!!

500

Factor: 27x³ − 125  

(3x − 5)(9x² + 15x + 25)

Factorstein

100

Factor: 20 + x − x²

−(x − 5)(x + 4)

200

Factor: 7x^{2 +} 46xy - 21y²

(x + 7y)(7x − 3y)

300

Factor: x⁴  + 2x² - 15

(x² + 5)(x² - 3)

400

Daily Double

Factor: ax - 8a + 3x - 24

(a + 3) (x - 8)

500

Factor: x³ + 3x² - x - 3

(x+3) (x-1) (x+1)

Nightmare on Factoring Street

100

Solve: 2y (y - 5)=

y=0,5

200

Solve: x² − 8x + 16= 0

x = 4

300

Solve: x² + 3x - 18 = 0

x = -6,3

400

x² - 12 = 11x

x = -1,12

500

x + 3 = x(x + 3)

x = -3,1