Factoring Jeopardy - Part 1

Factoring

100

What is the GCF of: 

4n³, 16n², & 8n

4n

200

Factor: 3ax − 7bx

x(3a − 7b)

300

Factor by Grouping: 6x³ + 18x² + x + 3

( 6x² + 1 ) ( x + 3 )

400

Factor completely:  3a³ + 12a² + a + 4

(a + 4)(3a² + 1)

500

Factor by grouping:   

2ax² + 3axy - 2nxy - 3ny²

(2x + 3y)(ax - ny)

is

100

What is the GCF: 

2p⁴r,  8p³r³,  & 16p²r³

2p²r

200

Factor Completely using the GCF: 9y²z+45y

9y (yz +5)

300

Factor by Grouping: 

2a³ - 8a² + 3a - 12

( a - 4 ) ( 2a² + 3 )

400

Factor by Grouping: 

3x³ - 15x² - 2x + 10

(3x² - 2 ) ( x - 5 )

500

Challenge: Which of the following expressions is NOT a factor of 5x³ - 6x²y - 45xy² + 54y³?

5x - 6y

 x² + 9y²

 x - 3y

 x + 3y

x² + 9y²

Fun

100

Factor Completely using the GCF:

8c² + 12c

4c (2c + 3)

200

Factor Completely using the GCF: 14x³ + 63x² - 7x

7x (2x² +9x -1)

300

Factor by Grouping: 

n³ - 2n² + 5n - 10

(n - 2 ) ( n² + 5 )

400

Factor completely:   3x² + xy² - 3xy - y³

(3x + y²)(x - y)

500

Factor completely:   m²x² + m²b - 2nx² - 2nb

(x² + b)(m² - 2n)

!!!

100

Factor:  -3a³+a^2. (make sure to make the first term positive)

-a²(3a-1)

200

Factor Completely using the GCF: 

-22a⁵b³ + 77a⁶b⁵ - 55a³b³

-11a³b³(2a³b²-7a³b²+5)

300

Factor:    

5x³(x²+3) + 10x²(x²+3)

 5x²(x²+3)(x+2)

400

Factor:

-36m + 6mn + 18n² - 3n³

(-6m + 3n²)(6 - n)

500

Challenge!  Factor:

3a(w-3)³-5b(w-3)³

(w-3)³(3a-5b)