REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: 

x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: 

x² + 2x - 24

(x+6)(x-4)

400

Factor into two binomials: 

x² - 5x + 6

(x-3)(x-2)

500

Factor into three binomials: 

y⁴ - 7y² - 18

(y + 3)(y - 3)(y² - 2)

Factoring trinomials when a>1

100

Factor 

2x² - 7x + 6

(2x - 3)(x - 2)

200

Factor 

9x² + 6x + 1

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

300

Factor 

2x² - x - 6

(x-2)(2x+3)

400

Factor 

4y² + 12y + 9

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

500

Factor: 

6x² + 7x + 2

(3x + 2)(2x + 1)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 20x⁴ - 8x²

4x²(5x² - 2)

300

Factor: 18x⁵y³ - 12x⁴y⁴

6x⁴y³(3x - 2y)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

Factor:

21a²b⁵c⁸ - 15a⁴b³c⁶ + 6a³b⁴c⁵

3a²b³c⁵(7b²c³ - 5a²c + 2ab)

Factor completely

100

Factor completely: 

a²b² - 144a²

a²(b+12)(b-12)

200

Factor completely: 

x⁴ - 625

(x+5)(x-5)(x²+25)

300

Factor completely: 

y⁴ - 81

(y² + 9)(y + 3)(y - 3)

400

Factor completely: 

2x³ + 14x² - 60x

2x(x+10)(x-3)

500

Factor completely: 

80 - 5d²

5(4+d)(4-d)

Factoring binomials

100

Factor: x² - 16

(x+4)(x-4)

200

Factor: 9 - x²

(3 + x)(3 - x)

300

25y² - 4k²

(5y+2k)(5y-2k)

400

Factor:

x³ - 64

(x - 4)(x² + 4x + 16)

500

Factor:

8x³ + 125

(2x + 5)(4x² - 10x + 25)