Factoring Review Jeopardy

Solving polynomial equations

100

Solve:

2x² = 2x

2x² - 2x = 0

2x(x - 1) = 0

2x = 0 or x - 1 = 0

x = 0 or x = 1

200

Solve:

x² - 7 = 6x

x² - 6x - 7 = 0

(x - 7)(x + 1) = 0

x - 7 = 0 or x + 1 = 0

x = 7 or x = -1

300

Solve:

8z² - 39z = 5

8z² - 39z - 5 = 0

8z² - 40z + z - 5 = 0

(8z + 1)(z - 5) = 0

8z + 1 = 0 or z - 5 = 0

z = -1/8 or z = 5

400

Solve:

(x - 2)(x² - 36) = 5(x² - 36)

(x - 2)(x² - 36) - 5(x² - 36) = 0

(x - 2 - 5)(x² - 36) = 0

(x - 7)(x - 6)(x + 6) = 0

x - 7 = 0 or x - 6 = 0 or x + 6 = 0

x = 7 or x = 6 or x = -6

500

Solve:

x³ - 36 = x(9 - 4x)

x³ + 4x² - 9x - 36 = 0

x²(x + 4) - 9(x + 4) = 0

(x² - 9)(x + 4) = 0

(x - 3)(x + 3)(x + 4) = 0

x - 3 = 0 or x + 3 = 0 or x + 4 = 0

x = 3 or x = -3 or x = -4

Coefficient of One-der

100

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

16

200

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

300

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

400

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

500

The result of factoring:

x² - 14x - 72

(x - 18)(x + 4)

Square Off!

100

The result of factoring: x²-1

(x-1)(x+1)

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
25x² - 1

(5x - 1)(5x + 1)

400

The result of factoring:
81(x + 1)² - 49

(9(x + 1) - 7)(9(x + 1) + 7)

(9x + 9 - 7)(9x + 9 + 7)

(9x + 2)(9x + 16)

500

The result of factoring:
64(x - 3)² - 36(x - 4)²

(8(x - 3) - 6(x - 4))(8(x - 3) + 6(x - 4))

(8x - 24 - 6x + 24)(8x - 24 + 6x - 24)

2x(14x - 48)

4x(7x - 24)

Crack the Code

100

The result of factoring: 

3x² - 7x - 20

3x² - 12x + 5x - 20

3x(x - 4) + 5(x - 4)

(3x + 5)(x - 4)

200

The result of factoring:

2x² + 17x + 8

2x² + 16x + x + 8

2x(x + 8) + 1(x + 8)

(2x + 1)(x + 8)

300

The result of factoring:

5x² + 6x + 1

5x² + 5x + x + 1

5x(x + 1) + 1(x + 1)

(5x + 1)(x + 1)

400

The result of factoring:

3x² + 11x - 20

3x² + 15x - 4x - 20

3x(x + 5) - 4(x + 5)

(3x - 4)(x + 5)

500

The result of factoring:

7x² + 7x - 42

7(x² + x - 6)

7(x - 2)(x + 3)

Factoring in Layers

100

The result of factoring:

3x² - 363

3(x² - 121)

3(x - 11)(x + 11)

200

The result of factoring:

36x² - 9

9(4x² - 1)

9(2x + 1)(2x - 1)

300

The result of factoring:

4x² - 2x - 6

2(2x² - x - 3)

2(2x² - 3x + 2x - 3)

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

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

400

The result of factoring:

3x² - 15x + 12

3(x² - 5x + 4)

3(x - 4)(x - 1)

500

The result of factoring:

9x³ + 84x² + 147x

3x(3x² + 28x + 49)

3x(3x² + 7x + 21x + 49)

3x(x(3x + 7) + 7(3x + 7))

3x(x + 7)(3x + 7)