Factor
x4-15x2+50
(x2-10)(x2-5)
6v3-16v2+21v-56
(2v2+7)(3v-8)
Factor
a3+8
(a+2)(a2-2a+4)
Factor
14n2+10n
2n(7n+5)
The name of any of your teacher's pets.
(Multiple names for a bonus 100)
Various answers
Factor 4m4+28m2+48
4(m2+3)(m2+4)
4v3-12v2-5v+15
(4v2-5)(v-3)
Factor
3x3+192
3(x+4)(x2-4x+16)
Factor
18x3-6x
6x(3x2-1)
The full name of something that looks like this
30t3+50t2-20t
Cubic Trinomial
Factor
x4-9x2+8
(x2-8)(x-1)(x+1)
m3-m2+2m-2
(m2+2)(m-1)
Factor
a3-1
(a-1)(a2+a+1)
Something that cannot be factored is called this
Prime
The quadratic formula
(Bonus 300 if answering in song)
Teacher Checks
Factor
6x4+12x2-144
6(x2+6)(x-2)(x+2)
3x3-21x2+2x-14
(3x2+2)(x-7)
Factor
125u3-8
(5u-2)(25u2+10u+4)
Factor:
a4-4
Solve for n by completing the square
n2+8n-63 = 2
n = 5, -13
Factor
6x4-60x2+54
6(x-1)(x+1)(x-3)(x+3)
175r3-210r2-75r+90
5(7r2-3)(5r-6)
Factor
500x3-32
4(5x-2)(25x2+10x+4)
Factor
4x4-225
(2x2-15)(2x2+15)
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