Pre College 5.5a,b ;5.6a,b ;5.7a,b,c,d ;5.8a

Grouping or Factoring

100

Factor: x²(5y-2) - 7(5y-2)

(5y-2) (x²-7)

200

Factor: 32b² + 12b

4b(8b +3)

300

Factor w/ Grouping: 15x² + 6x - 5xy -2y

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

400

Factor w/ Grouping: 4a² - 6a - 6ab +9b

(2a -3)(2a-3b)

500

Factor: 3a² - 10b³

Nonfactorable

Factoring a Trinomial

100

Daily Double!!!

x² - 5x -6

(x-6)(x+1)

200

Daily Double!!!

This method is used while factoring trinomials. This is also the name for kitchen essential made of aluminum to wrap food.

What is Foil?

300

x² - x - 20

(x+4)(x-5)

400

10 - 3x - x² 

-(x-2)(x+5)

500

x² + 5xy + 6y²

(x+2y)(x+3y)

Perfect Square or Cube?

100

x² - 16

(x+4) (x-4)

200

x² - 12x + 36

(x-6)²

300

(x+y)² - 4

(x+y+2) (x+y-2)

400

a³b³ - 27

(ab-3) (a²b² + 3ab + 9)

500

64c³ + d³

(4c +d) (16c² - 4cd +d²)

Factor Completely!

100

18x³ - 6x² - 60x

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

200

4x - 4y - x³ + x²y

(x-y)(2+x)(2-x)

300

6a³ + 15a² -36a

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

400

Daily Double!!!

5x² + 10x +5

5(x+1)²

500

20x² - 5

5(2x+1)(2x-1)

Solve by Factoring

100

x² + (x+2)² = 100

Hint: There are two solutions

-8  and 6

200

(x+4)(x-1) = 14

Hint: There are two solutions

-6 and 3

300

t² - 16 = 0

Hint: There are two solutions

-4 and 4

400

x² - 4x + 3 = 0

Hint: There are two solutions

1 and 3

500

9x² - 6x + 1 = 0

Hint: There is only ONE solution

(1/3)