MS. MOORE'S FACTORING POLYNOMIALS JEOPARDY

Factoring trinomials

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely: m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely: y²-6y-7

(y-7)(y+1)

500

Factor completely: x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely: 3x²-10x+7

(3x-7)(x-1)

400

Factor completely: 7x²-36x+5

(7x-1)(x-5)

500

Factor completely: 2x²-12x+10

2(x-1)(x-5)

Factoring by Perfect Squares/Cubes

100

Factor completely: 4x²-9

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

200

Factor completely: x³-8

(x – 2)(x² + 2x + 4)

300

Factor completely: 81x⁴-1

(9x²+1)(3x+1)(3x-1)

400

Factor completely: 27x³ + 64y 

(3x + 4y)(9x² – 12xy + 16y²)

500

Factor completely: 12x³ - 27xy²

3x(2x+3y)(2x-3y)

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely: 18x³-6x

6x(3x²-1)

300

Factor completely: 16m²n³+56mn²

8mn²(2mn+7)

400

Factor completely: 17xy²z+51x³yz⁴-34xyz²

17xyz (y+3x²z³-2z)

500

Factor completely: 8x³yz²+2xz-13y³

not factorable

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely: 5x³-x²+30x-6

(x²+6)(5x-1)

300

Factor completely: 3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely: 100x⁴+20x³-20x²-4x

4x(5x²-1)(5x+1)

500

Factor completely: 64x³-80x²-4x+5

(4x+1)(4x-1)(4x-5)