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

Greatest Common Factor & Grouping

100

Factor: 3x² + 6x

3x(x + 2)

200

Factor: 4a + 3x - 12

(a + 3)(x - 4)

300

Factor: 4y - 6ay -3a

(2y + 1)(4y - 3a)

400

Factor Completely: 5x⁵ - 5x

5x(x - 1)(x + 1) (x² + 1)

500

Factor Completely:  x³ + 64 

(x + 4) (x² - 4x + 16)

Trinomials

100

Factor: 8x + 12

(x + 2)(x + 6)

200

Factor: 12y + 36

(y − 6)²

300

Factor: 7y − 20

(2y − 5)(3y + 4)

400

Factor: 3 x 2 − 10x − 8

(3x+2)(x−4)

500

Factor: 2y² − 8y + 2

2(y² − 4y + 1)

Special Products

100

Factor: 16x² − 49

(4x − 7)(4x + 7)

200

Factor 4x² - 20x + 25

(2x - 5)²

300

Factor: 9x² + 24x + 16

(3x+4)2²

400

Factor: x³ + 64

(x + 4)(x² − 4x + 16)

500

Factor: 27x³ − 125  

(3x − 5)(9x² + 15x + 25)

Factor It All!

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

Factor: x³ + 64

(x+4)(x² − 4x + 16)

500

x⁴ + 2x² - 15

(x² + 5)(x² - 3)

Solve It!

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