What is the GCF?
Factoring by GCF
Factoring by DOPS
Factoring by GCF&DOPS
Regents Roundup
100

What is the greatest common factor of

 ( 36 , 27 ) 

GCF = 9

100

Factor

8 q2 + 9 q

q (8q +9)

100

Factor by the difference of the perfect squares:

x2 - 9

(x - 3 )( x + 3)

100

Factor of GCF&DOPS

18 a2 - 8

2(9 a2 - 4)

2((3a)2 - 22)

2(3a -2)(3a+2)

100

The expression 49 h2 - 25 a is equivalent to 

a) ( 7 h + 5a)(7h -5a)

b) ( 7 h + 25)( 7h - a2)


a ) (7h + 5a)(7h -5a)

200

What is the greatest common factor of 

( 8 x4, x3)

GCF = x3

200

factor 

12x2 - 16 x

4x(3x-4)

200

Factor by the difference of the perfect squares:

25 - m2

( 5 - m)(5 + m)

200

Factor by GCF & DOPS

5 n- 5

5( n2 -1)

5(n-1)(n+1)

200

what is          expressed in the simplest radical form?




b

300

What is the greatest common factor of 

(12y2, 15y)

GCF = 3y

300

Factor by GCF:

10 m2 - 5 n

5( 2m2 - n)

300

Factor by the difference of the perfect squares:

81q2 - 36

( 9q - 6)( 9q + 6)

300

Factor by GCF & DOPS

12 X2 - 27

3(4x2  - 9 )

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

300

the expression 25-49 x2  is equivalent to what?

(5-7x)(5+7x)

400

What is the greatest common factor of 

( 18 a2, 8)

GCF= 2

400

Factor by GCF:

24 h + 27

3 ( 8 h + 9)

400

Factor by the difference of the perfect squares:

121-144y2

(11-12y)(11+12y)

400

Factor by GCF & DOPF

75q2 - 3

3(25 q2 - 1)

3(5q -1)(5q + 1)

400

The expression 4x2 -16y2z2 is equivalent to what?

(2x-4yz)(2x+4yz)

500

What is the greatest common factor of 

(10 a5b, 10 a2b3)

GCF = 10 a2 b

500

Factor by GCF:

25 a7 b5 c3 + 25 a3 c2

25 a3c2 ( a4b5 c + 1)

500

Factor by the difference of the perfect squares:

25 x2 - y2

(5 x -y)( 5x +y)

500

Factor by GCF&DOPS

50b2 - 32 

2( 25b2 -16)

2(5b-4)(5b+4)

500

factor:

18x-50

2(9x2 -25)

2(3x -5)(3x +5)

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