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 q^{2} + 9 q

q (8q +9)

100

Factor by the difference of the perfect squares:

x^{2} - 9

(x - 3 )( x + 3)

100

Factor of GCF&DOPS

18 a^{2} - 8

2(9 a^{2} - 4)

2((3a)^{2} - 2^{2})

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

100

The expression 49 h^{2} - 25 a^{2 } is equivalent to

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

b) ( 7 h + 25)( 7h - a^{2})

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

200

What is the greatest common factor of

( 8 x^{4}, x^{3})

GCF = x^{3}

200

factor

12x^{2} - 16 x

4x(3x-4)

200

Factor by the difference of the perfect squares:

25 - m^{2}

( 5 - m)(5 + m)

200

Factor by GCF & DOPS

5 n^{2 }- 5

5( n^{2} -1)

5(n-1)(n+1)

200

what is expressed in the simplest radical form?

b

300

What is the greatest common factor of

(12y^{2}, 15y)

GCF = 3y

300

Factor by GCF:

10 m^{2} - 5 n

5( 2m^{2} - n)

300

Factor by the difference of the perfect squares:

81q^{2} - 36

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

300

Factor by GCF & DOPS

12 X^{2} - 27

3(4x^{2} - 9 )

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

300

the expression 25-49 x^{2} is equivalent to what?

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

400

What is the greatest common factor of

( 18 a^{2}, 8)

GCF= 2

400

Factor by GCF:

24 h + 27

3 ( 8 h + 9)

400

Factor by the difference of the perfect squares:

121-144y^{2}

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

400

Factor by GCF & DOPF

75q^{2} - 3

3(25 q^{2} - 1)

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

400

The expression 4x^{2} -16y^{2}z^{2} is equivalent to what?

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

500

What is the greatest common factor of

(10 a^{5}b, 10 a^{2}b^{3})

GCF = 10 a^{2} b

500

Factor by GCF:

25 a^{7} b^{5} c^{3} + 25 a^{3} c^{2}

25 a^{3}c^{2} ( a^{4}b^{5} c + 1)

500

Factor by the difference of the perfect squares:

25 x^{2} - y^{2}

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

500

Factor by GCF&DOPS

50b^{2} - 32

2( 25b^{2} -16)

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

500

factor:

18x^{2 }-50

2(9x^{2} -25)

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

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