Factoring

Greatest Common Factor

100

Factor: 

3x + 12

3(x + 4)

200

Factor: 

8m + 36n

4(2m + 9n)

300

Factor:

21cd – 3d

3d(7c – 1)

400

Factor:

18a²bc² – 48abc³

6abc²(3a – 8c)

500

Factor:

9r⁸ – 18r²s – 24rs²

3r(3r⁷ – 6rs – 8s²)

Prime Factorization

100

Find the Prime Factorization:

60

2 • 2 • 3 • 5

200

Find the Prime Factorization:

36x²y

2 • 2 • 3 • 3 • x • x • y

300

Find the Prime Factorization:

54xy²z

2 • 3 • 3 • 3 • x • y • y • z

400

Find the Prime Factorization:

90a²b²c

2 • 3 • 3 • 5 • a • a • b • b • c

500

Find the Prime Factorization:

-462

-1 • 2 • 3 • 7 • 11

Grouping

100

Factor: 

g² + 2g + 3g + 6

(g + 2)(g + 3)

200

Factor: 

4x² + 14x + 6x + 21

(2x + 7)(2x + 3)

300

Factor: 

w³ + 5w² – 8w – 40

(w + 5)(w² – 8)

400

Factor: 

p⁵ – 6p³ – 2p² + 12

(p² – 6)(p³ – 2)

500

Factor: 

2y⁴ – 6y³ – 7y + 21

(y – 3)(2y³ – 7)

Trinomials

100

Factor: 

x² + 9x + 20

(x + 4)(x + 5)

200

Factor: 

a² + 10a + 24

(a + 4)(a + 6)

300

Factor: 

n² + 3n – 18

(n + 6)(n – 3)

400

Factor: 

x² – 7x – 30

(x – 10)(x + 3)

500

Factor: 

y² – 18y – 40

(y – 20)(y + 2)

Solving

100

Solve: 

w(w – 24) = 0

w = 0     w = 24

200

Solve: 

(x + 4)(3x – 15)

x = -4       x = 5

300

Solve: 

3m² + 12m = 0

m = 0          m = -4

400

Solve: 

x² + 19x – 42 = 0

x = -21      x = 2

500

Solve: 

x² + 9 = -10x

x = -1     x = -9