Factoring Game

GCF

1

10y^2 + 10x^2

10

2

7x^4 + 49x

7x

3

20xz^2b - 48x^2b^5

4xb

4

x^2k^20 + x^6k^10

x^2k^10

5

28a^20m^12y^17 + 70a^40n^10y

12a^20y

Factoring Polynomials withCommon Monomial Factor

1

8y^10 - 16

4 ( 2y^10 - 4 )

2

x^8 + x^2

x^2 ( x^6 + x )

3

7x^8 - 21x^4

7x^4 ( x^4 - 3x )

4

10x^8 + 28x^4

2x^4 ( 5x^4 + 14 )

5

10f^12 + 5f^20

5f^12 ( 2f + f^8 )

Difference of Two Squares

1

c^2 - 8

( c + 4 ) ( c - 4)

2

9 - d^4

( 3 + d^2 ) ( 3 - d^2 )

3

25x^2 - 16v^9

( 5x + 4v^3) ( 5x - 4v^3 ) 

4

x^9 - c^2

( x^3 + c ) ( x^9 - c^2 )

5

100x^49 - 81h^64

( 50x^7 + 9h^8 ) ( 50x^ - 9h^8 )

Sum and Difference of Two Cubes

1

125h^8 - f3

( 5h^2 - f ) ( 25h^4 + 5h^2f + f ^@)

2

216 + v^3

( 6 + v ) ( 12 - 6v + v^2 )

3

64 - 1

( 6 - 1 ) (12 + 12 + 1 )

4

36x^6 + 64

4 ( 3x^2 + 4 ) ( 9x^4 - 12x^2 + 16 )

5

x^200 - x^25

x^25 ( 2 - x ) ( 4 + 2x + x^2 )