Factoring Jeopardy

Greatest Common Factor

100

Factor the GCF: 2x-8

2(x-4)

200

The result of factoring 21x³-7x²+63x

x(21x²-7x+63)

300

Factor 12(y+8)-x(y+8)

(y+8)(12-x)

400

What is the result of factoring

 9x²y-45xy+9zy²

9y(x²-5x+zy).

500

What is the result of factoring 

20x³z⁴-15x²z³+5x²z².

5x²z²(4xz²-3z+1).

Trinomial

100

To factor the trinomial x²+8x+16 you find two numbers that add to 8 but multiply to this...

16.

200

The factored form of

x^2+3x-18

(x+6)(x-3)

300

The factored form of x²+6x+8 is

(x+4)(x+2).

400

The factored form of x²-10x-24 is 

(x-12)(x+2)

500

The result of factoring x² + 8x - 33 

What is(x+11)(x-3)

Factoring by Grouping

100

Factor 

x^3+5x^2-4x-20

(x+5)(x^2-4)

200

The result of factoring 3x³ - 21x² + 2x - 14 

(3x² + 2)(x - 7) 

300

The result of factoring 

x³ +4x² + 8x +32  is 

(x² + 8)(x + 4)

400

The results of factoring 

8x² + 12x + 2xy + 3y  is

(4x + y)(2x + 3)

500

The result of factoring c²d + 3c² - 7d² - 21d

(c² - 7d)(d + 3)

Squares/Cubes

100

Difference of squares can only happen when what two things are true? 

- Both terms are perfect squares

- They are being Subtracted

200

The result of factoring s²-25 is this....

What is (s-5)(s+5).

300

The result of factoring w²⁺100 is this...

prime

400

The result of factoring r³-27 is this...

What is (r-3)(r²+3r+9)

500

The result of factoring 64z²-36w² is this...

What is 4(4z-3w)(4z+3w).

Factor completely

100

Factor completely 3a - 24

3(a - 8)

200

The result of factoring 32x² - 18y²

2(4x + 3y)(4x - 3y)

300

The result of factoring a³ + 8a² - 84a

a(a + 14)(a -6)

400

The result of factoring 2x²-10x-2 is this...

2(x² -5x - 1)

500

The result of factoring 16x² - 4 is this...

What is 4(2x - 1)(2x + 1)