Factoring Jeopardy

Greatest Common Factor & Multiplying Polynomials

100

The result of factoring:
9x² - 45x + 9

9(x² - 5x + 1)

200

Multiply (2x+7)(3x-4)

6x²+13x-28

300

The GCF of:
25xz² - 125xz - 50xyz +25y²z

25z

400

Multiply (2x+3)(x²-4x+3)

2x³-5x²-6x+9

500

Multiply (3x⁴+2x³-4x²+5x+2)(2x⁴+2x²-x-2)

6x⁸+4x⁷-2x⁶+11x⁵-12x⁴+10x³+7x²-12x-4

Trinomial(a=1)

100

To factor the trinomial x² + 8x + 16 you find two numbers that add to 8 and multiply to:

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)

Difference of Squares

100

The result of factoring: 16x^{2 -} t²

(4x - t)(4x + t)

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
x² - 100

(x - 10)(x + 10)

400

The result of factoring:
81x² - 49

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

500

The result of factoring:
64x² - 36

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

Grouping

100

The result of factoring: 

x³ - x² - 3x + 3

(x² - 3)(x - 1)

200

The result of factoring:

x³ + 2x² - 5x - 10

(x² - 5)(x + 2)

300

The result of factoring:

8x² + 12x + 2xy + 3y

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

400

The result of factoring:

16x³ + 8x² - 6x - 3

(8x² - 3)(2x + 1)

500

The result of factoring:

12x² + 28xy + 3x + 7y

(3x + 7y)(4x + 1)

Trinomials(a not =1)

100

The result of factoring:

6x² -5x -4

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

200

The result of factoring:

2x² +11x +12

(2x+3)(x+4)

300

The result of factoring:

3x² +16x -12

(x+6)(3x-2)

400

The result of factoring:

5x² -21x +18

(x-3)(5x-6)

500

The result of factoring:

4x² +24x +11

(2x+11)(2x+1)

Multi-Step Factoring

100

The result of factoring:

3x² - 27

3(x - 3)(x + 3)

200

The result of factoring:

36x² - 9

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

300

The result of factoring:

4x³ - 28x² - 9x + 63

(2x + 3)(2x - 3)(x - 7)

400

The result of factoring:

3x² - 15x + 12

3(x - 4)(x - 1)

500

The result of factoring:

3x³ + 30x² + 63x

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

Adding/Subtracting Polynomials

100

(4x²-5x+2)+(2x²+x-5)

6x²-4x-3

200

(-3x²-4x-5)-(4x²+5x-2)

-7x²-9x-3

300

(5x⁴+2x⁵-4x+5+x²)+(2x³-4x+5x²+4)

2x⁵+5x⁴+2x³+6x²-8x+9

400

(-4x⁴+6x³-2x+5x⁵-4x²)-(2x³-4x-5x²+6x⁵-4+7x⁴)

-x⁵-11x⁴+4x³+x²+2x+4

500

4(x²+5x+6x³+8)+2(x⁴+6x³+7x)

2x⁴+36x³+4x²+34x+32