Factoring Jeopardy!

Factoring Using The GCF

100

Factor 3x² - 12x

3x(x-4)

200

Factor: 4ab² - 12a²b

4ab(b-3a)

300

Factor: y⁵+2y³

y³(y²+2)

400

Factor: 16x⁵y² - 12x²y⁴ + 20x³y³

4x²y²(4x³ - 3y² + 5xy)

500

Factor: xyz² + xyz - x²y²z²

xyz(z+1 - xyz)

Factoring Basic Trinomials

100

Factor: x² + 12x - 28

(x-2)(x+14)

200

Factor: x²+10x+21

(x+3)(x+7)

300

Factor: x² - 23x + 60

(x-3)(x-20)

400

Factor: x²-16 

(x + 4)(x - 4)

500

Factor: 4x²+20x-56

4(x-2)(x+7)

Factor Completely

100

Factor completely: x² - 144

(x+12)(x-12)

200

Factor completely: 2x³+14x²-60x

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

300

Factor completely: 5d² - 80

5(d+4)(d-4)

400

Factor completely: a²b² - 144a²

a²(b+12)(b-12)

500

Factor completely: y⁴-81

(y²+9)(y+3)(y-3)

Factoring Trinomials

100

Factor the trinomial: 5n²+26n+5

(5n+1)(n+5)

200

Factor the trinomial: x²+8x+12

(x+6)(x+2)

300

Factor the trinomial: 3x²+7x+4

(3x+4)(x+1)

400

Factor the trinomial: m² - 11m + 18

(m-9)(m-2)

500

Factor the trinomial: 6x²+x-2

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

Factor By Grouping

100

Factor by grouping: 6v³-16v²+21v-56 

(2v²+7)(3v-8)

200

Factor by grouping: m³-m²+2m-2 

(m2+2)(m-1)

300

Factor by grouping: 4v³-12v²-5v+15 

(4v²-5)(v-3)

400

Factor by grouping: 12bc-4bd-15xc+5xd 

(4b-5x)(3c-d)

500

Factor by grouping: 21xy+15x+35ry+25r 

(3x+5r)(7y+5)