Factoring Jeopardy

Greatest Common Factor

100

The result of factoring: 2x² + 14

What is 2(x² + 7)?

200

The result of factoring:
8a - 16

What is
8(a - 2)?

300

The GCF of:
25z² - 125xz

What is 25z?

400

The result of factoring:
9x² - 45x +9

What is
9(x² - 5x+ 1)?

500

The result of factoring:
-15x² + 5x

What is
-5x(3x - 1)?

Trinomial

100

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

What is 16?

200

The result of factoring:
x² + 8x + 12 

What is
(x + 2)(x + 6)?

300

The result of factoring:
x² - 6x + 8

What is
(x - 4)(x - 2)?

400

The result of factoring:
x² - 10x - 24 

What is
(x - 12)(x + 2)?

500

The result of factoring:
2x² + 8x + 8 

What is
2(x + 2)²?

Distributive Property

100

The result of Distributive Property:
(x - 1)(x + 1)

What is
x² - 1?

200

The result of Distributive Property:

(x - 5)(x + 5)

What is

x² - 25?

300

The result of Distributive Property:

2(x - 10)(x + 10)

What is

2x² - 200?

400

The result of Distributive Property:

(x² + 7)(x - 4)

What is
x³ - 4x² + 7x - 28?

500

The result of Distributive Property:

9(x - 2)(x - 2)

What is
9x² - 36x + 36?

Perfect Square Trinomials

100

The result of factoring:
x² + 6x + 9

What is
(x+3)²?

200

The result of factoring:
x² - 20x +100

What is
(x-10)²?

300

The result of factoring:
x² + 8x + 16

What is
(x + 4)²?

400

The result of factoring:
2x² + 32x + 128

What is
2(x + 8)²?

500

The result of factoring:
x² - 12x + 36

What is
(x - 6)²?

Challenge

100

The result of Distributive Property:

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

What is
x³ + 6x² + 11x + 6?

200

The result of Distributive Property:

(x + y)³

What is
x³ + 3x²y + 3xy² + y³?

300

The result of factoring:

98x² - 50

What is
2(7x - 5)?

400

The results of factoring:

4x² + 20x + 25

What is
(2x + 5)²?

500

This idea makes certain factoring problems much easier, and is seen in the following equation:

a² - b² = (a + b)(a - b)

What is the Difference of Squares?