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: ax² - bx - ax + b

(x - 1)(ax - b)

Factor using the GCF

100

Factor 3x² - 12x

3x(x - 4)

200

Factor: x^(b+1) - x^b

x^b (x - 1)

300

Factor: y^(a+2) + 2y^a

y^a (y²+2)

400

Factor: 4ab² - 12a²b

4ab(b - 3a)

500

x^(2+k) - 4x⁴

x²(x^k - 4x²)

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 he difference of two perfect 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

(1/4)x² - (49/25)

(1/2x - 7/5)(1/2x + 7/5)

500

x²+100

Can not be factored because of the plus sign.