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 two binomials: 

y⁴ - 7y² - 18

(y² - 9)(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: 3x² - 10x + 7

(3x - 7)(x - 1)

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)

Difference of squares

100

Factor: x² - 16

(x+4)(x-4)

200

Factor: 9 - x²

(3+x)(3-x)

300

25y² - 4k²

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

400

a²x² - b²

(ax + b)(ax - b)

500

x² + 100

Can not be factored because of the plus sign.