Quadratic Form
Cubic Polynomials
+ or - of Cubes
Special Cases
Grab Bag
100

Factor 

x4-15x2+50

(x2-10)(x2-5)

100

6v3-16v2+21v-56

(2v2+7)(3v-8)

100

Factor

a3+8

(a+2)(a2-2a+4)

100

Factor 

14n2+10n

2n(7n+5)

100

The name of any of your teacher's pets. 

(Multiple names for a bonus 100)

Various answers

200

Factor 4m4+28m2+48

4(m2+3)(m2+4)

200

4v3-12v2-5v+15

(4v2-5)(v-3)

200

Factor

3x3+192

3(x+4)(x2-4x+16)

200

Factor

18x3-6x

6x(3x2-1)

200

The full name of something that looks like this 

30t3+50t2-20t

Cubic Trinomial

300

Factor 

x4-9x2+8

(x2-8)(x-1)(x+1)

300

m3-m2+2m-2

(m2+2)(m-1)

300

Factor

a3-1

(a-1)(a2+a+1)

300

Something that cannot be factored is called this 

Prime

300

The quadratic formula 

(Bonus 300 if answering in song)

Teacher Checks

400

Factor 

6x4+12x2-144

6(x2+6)(x-2)(x+2)

400

3x3-21x2+2x-14

(3x2+2)(x-7)

400

Factor

125u3-8

(5u-2)(25u2+10u+4)

400

Factor: 

a4-4

(a2+2)(a2-2)
400

Solve for n by completing the square

n2+8n-63 = 2

n = 5, -13

500

Factor

6x4-60x2+54

6(x-1)(x+1)(x-3)(x+3)

500

175r3-210r2-75r+90

5(7r2-3)(5r-6)

500

Factor

500x3-32

4(5x-2)(25x2+10x+4)

500

Factor 

4x4-225

(2x2-15)(2x2+15)

500

The Zero Product Property states that 

 if (a)(b)=0 , then either a=0 or b=0 (or both)

OR

when multiple factors multiply to equal 0, you can set each factor equal to 0 and solve them

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