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: 6x² - 11x -10

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

Factor using the GCF

100

Factor 3x² - 12x

3x(x-4)

200

Factor: x⁹y⁵z - x³y¹¹

x³y⁵(x⁶z - y⁶)

300

Factor: 14y⁶ + 2y⁴

2y⁴ (7y² + 1)

400

Factor: 4ab² - 12a²b

4ab(b - 3a)

500

20a⁴bc³ - 15a³b³c + 45a²b²c²

5a²bc(4a²c² - 3ab² + 9bc)

Factor completely

100

Factor completely: a²b² - 144a²

a²(b + 12)(b - 12)

200

Factor completely: x⁴ - 625

(x² + 25)(x + 5)(x - 5)

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

169x² - 225y⁶

(13x + 15y³)(13x - 15y³)

500

x² + 100

Can not be factored because of the plus sign.