Algebra Wars: 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 - 6)(x + 1)

500

Factor into two binomials: x² + x + 1/4

(x + 1/2)(x + 1/2)

Mixed Factoring

100

Factor completely: 2x² - 98

2(x + 7)(x - 7)

200

Factor Completely: 9x⁴ - 4

(3x² + 2)(3x² - 2)

300

Factor Completely: 2x² + 32x + 128

2(x + 8)(x + 8)

400

Factor completely: 8n² - 18

2(2n + 3)(2n - 3)

500

Factor completely: x⁴ - 3x² - 10

(x² - 5)(x² + 2)

Factor using the GCF

100

Factor 3x² - 12x

3x(x - 4)

200

Factor: 5r² - 4r⁴

r²(5 - 4r²)

300

Factor: 63m⁶ - 49m⁵ - 21m

7m(9m⁵ - 7m⁴ - 3)

400

Factor: -24a²b² + 36ab - 60a

-12a(2ab² - 3b +5)

500

x^2b - x^b

x^b(x^b - 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)

Factoring the 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

81a⁶ - 64b⁸

(9a³ + 8b⁴)(9a³ - 8b⁴)