Factoring Jeopardy

GCF

100

5x + 25

5(x + 5)

200

16x²  - 12x

Double Jeopardy!

Why is this NOT DOTS??

4x(4x - 3)

Double jeopardy: 12 is not a perfect square

300

12x⁵ - 18x³ - 3x²

3x²(4x³ - 6x - 1)

400

15x³y² + 10x²y⁴

5x²y²(3x + 2y²)

500

x⁵ + 7x⁴y³ - 8xy⁴ + 14xy

x(x⁴ + 7x³y³ - 8y⁴ + 14y)

DOTS

100

y² - 36

(y + 6)(y - 6)

200

a⁴ - 81

(a² + 9)(a² - 9)

300

16x⁶ - 1

(4x³ + 1)(4x³ - 1)

400

36x⁴y² - 225

(6x²y + 15)(6x²y - 15)

500

9x³ - 81x

9x(x + 3)(x - 3)

un-foiling

100

x² + 7x + 12

(x + 4)(x + 3)

200

x² - 7x - 18

(x + 2)(x - 9)

300

x² - 11x + 18

(x - 2)(x - 9)

400

x² + 6x - 16

(x - 2)(x + 8)

500

3x² - 3x - 90

Double Jeopardy!

Why is the box method not the easiest method for this one?

3(x + 5)(x - 6)

Double jeopardy: Finding factors of 270x² is a challenge! Finding the GCF and then un-foiling is easier.

box method

100

9x² + 12x + 4

(3x + 2)(3x + 2)

200

6x² + x - 2

(3x + 2)(2x - 1)

300

12x² + 5x - 2

(4x - 1)(3x + 2)

400

6x² - 11x + 4

(3x - 4)(2x - 1)

500

16b ² + 60b − 100

4(b + 5)(4b − 5)