Chapter 10 JeoPARTY!

Factor trinomials using the AC Method

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

400

Factor into two binomials: 5y²+26y+5

(5y+1)(y+5)

500

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

Factor By Grouping

100

Factor by grouping: 

3x²+9x+4x+12

(x+3)(3x+4)

200

Factor by grouping: 

5x²-30x+2x-12

(x-6)(5x+2)

300

Factor by grouping: 

3n³-4n²+9n-12

(3n-4)(n²+3)

400

Factor by grouping: 

12x³+2x²-30x-5

(6x+1)(2x²-5)

500

Factor by grouping: 

4x²+20x-3xy-15y

(x+5)(4x-3y)

Find the GCF

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Multiplying Polynomials

100

Simplify

(y-8)(y+4)

y²-4y-32

200

Simplify

(3b+5)(7b-2)

21b²+29b-10

300

Simplify

(w+5)²

w²+10w+25

400

Simplify

(4w+7)(3w²+2w-5)

12w³+29w²-6w-35

500

Simplify

(5u²-7u-2)(6u+4)

30u³-22u²-40u-8