Factoring Jeopardy

Special Cases

100

n^2 - 1000000

what is(n - 1000)(n + 1000)

200

169A^2–400

(13A-20) (13A+20)

300

 18x^2-36x+16

(3x-4)(6x-4)

400

-5x^2-20x^2-465x^2+441x^2+9n^2

(3n-7x)(3n+7x)

500

-3b^4+87b^4-34b^4-29b^4-53b^4-2y^25+31b^4-49y^25+2b^4+208y^25-b^4-270y^25-b^4-5y^25+21y^25  

What is (b^2+y^5)(-b^2+y^5)

Grouping

100

8x²+2x³-4y²-xy²

(2x²-y²)(4+x)

200

16mn+28n-7m-4m^2

(4m+7) (4n-m)

300

45uv - 125bu - 75u^2 + 75bv

(3v - 5u)(15u - 25b)

400

4xr-10x²r-10x+25

2x(2r-5)-5x²(2r-5)

(2x-5x²)(2r-5)

500

40ac^2+25ak^2+32bc^2+20bk^2

(5k^2+8c^2)(5a+4b)

Easy

100

n^2-6n+8

(n-4)(n-2)

200

n^2+4n-12

 (n-2)(n+6)

300

m^2+m-90

(m-9)(m+10)

400

4v^2-4v-8

4(v+1)(v-2)

500

11p^2 + 11p -330

11(p + 6)(p - 5)

Hard

100

5n^2+19n+12

What is (5n+4)(n+3)

200

5x^2 - 18x + 9

(5x - 3)(x - 3)

300

4x^2+17x+15

(4x+5)(x+3)

400

-6a^2-25a-25

-(3a+5)(2a+5)

500

-6a^2-25a-25

-(2a+5)(3a+5)

Random

100

What is this form called?

(x^10-5c^2)(x^10+5c^2)

Difference of two Squares

200

When doing factoring by grouping, what do we look for in groups?

What is the greatest common factor?

300

16b^2+60b-100

4(b+5)(4b-5)

400

2^20-2^16

2^16(2^4-1)

2^16(16-1)

(2^16)*(15)

500

n^8 - 256

(n^2 + 4)(n -2)(n + 2)(n^4+16)