Factoring Jeopardy

Box

100

x²+9x+18

(x+6)(x+3)

200

x²-5x+4

(x-1)(x-4)

300

x²+3x-10

(x+5)(x-2)

400

x²-15x+50

(x-10)(x-5)

500

x²-20x+100

(x-10)(x-10)

Difference of Squares

100

x²-9

(x+3)(x-3)

200

x²-49

(x+7)(x-7)

300

4x²-81

(2x-9)(2x+9)

400

A soccer field with an area of 81x²-9 has a length of 9x+3. What is the width?

9x-3

500

A football field as an area of 100x²-49. What is the length and width?

(10x-7)(10x+7)

Sum/Difference of Cubes

100

x³+8

(x+2)(x²-2x+4)

200

x³-125

(x-5)(x²+5x+25)

300

8x³+64

(2x+4)(4x²-8x+16)

400

27x³-125

(3x-5)(9x²+15x+25)

500

216x³-8

(6x-2)(36x²+12x+4)

Grouping

100

2x²+8x+3x+12

(2x+3)(x+4)

200

3x²-6x-4x+8

(3x-4)(x-2)

300

x³+3x²-11x-33

(x²-11)(x+3)

400

x³+5x²+9x+45

(x²+9)(x+5)

500

2x³-5x²-22x+55

(x²-11)(2x-5)

Which Method?

100

Which method would be used to factor the polynomial?

2x²+18x+12

GCF

200

Which method would be used to factor

x²+8x-33

Box

300

Which two methods would be used to factor the polynomial completely?

4x²+12x-16

GCF then Box

400

Which two methods would be used to factor the polynomial completely?

5x²-20

GCF then Difference of Squares

500

FINAL JEOPARDY: MULTI-STEP FACTORING

Completely factor the polynomial

2x³+3x²-50x-75

(x+5)(x-5)(2x+3)