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Factoring GCF & Trinomials when a = 1
Contributed by: Funicella
  • 1. Choose the Greatest Common Factor (GCF) of: 18, 36
A) 2
B) 3
C) 6
D) 18
  • 2. Choose the Greatest Common Factor (GCF) of: 42, 84
A) 2
B) 42
C) 3
D) 6
  • 3. Choose the Greatest Common Factor (GCF) of: 16, 64
A) 16
B) 2
C) 24
D) 8
  • 4. Choose the Greatest Common Factor (GCF) of: 17, 51
A) 3
B) 17
C) 2
D) none
  • 5. Choose the Greatest Common Factor (GCF) of: 25, 75
A) 15
B) 3
C) 25
D) 5
  • 6. Choose the Greatest Common Factor (GCF) of: 23, 69
A) 23
B) none
C) 13
D) 7
  • 7. Choose the Greatest Common Factor (GCF) of: 45, 105
A) 6
B) 5
C) 3
D) none
  • 8. Choose the Greatest Common Factor (GCF) of: 42, 63
A) 7
B) 21
C) 3
D) 9
  • 9. Choose the Greatest Common Factor (GCF) of: 100, 150
A) 25
B) none
C) 50
D) 5
  • 10. Choose the Greatest Common Factor (GCF) of: 12, 96
A) 4
B) 3
C) none
D) 12
The greatest common factor, or GCF, of an algebraic expression, is the greatest monomial that can divide evenly into allterms of the expression. 
For example, the GCF of 30x2y + 20y is 10y.
What is the GCF of this binomial?
2x2 - 12
Hint: Sometimes the GCF will have a coefficient AND
a variable!
What is the GCF of this binomial?
4x2 - 16x
What is the GCF of this trinomial?
15x2y - 5xy - 10y
What is the GCF of this trinomial?
8x2 - 4x - 20
What is the GCF of this trinomial?
15x3 - 9x2 - 3x
What goes outside the parenthesis when factoring 15x – 25?
15x - 25 =
GCF
(3x - 5 )
Factor 2x2 + 36x by factoring out the GCF.
2x2 + 36x =
( x + 18 )
=

Fill in either a '+' or a '-'.

( x
x+ 10x + 16
8)    ( x
2)
=

Fill in either a '+' or a '-'.

( x
x+ 8x - 20
 10)    ( x
  2)
=

Fill in either a '+' or a '-'.

( x
x2 - 4x - 12
6)    ( x
2)
=

Fill in either a '+' or a '-'.

( x
x2 - 9x + 20
4)    ( x
5)
=
( x +    )(x -    )

Fill in the blanks

x2 + 4x - 5
=
( x +    )(x -    )

Fill in the blanks

x2 + 7x - 18
=
( x -     )(x +    )

Fill in the blanks

x2 + 3x - 10
=

Fill in the blanks,

with the smallest

number in the first factor

( x -     )(x +    )
x2 + 7x + 10
=

Fill in the blanks,

with the smallest

number in the first factor

( x -     )(x +    )
x2 - x - 12
=

Fill in the blanks,

with the smallest

number in the first factor

( x -     )(x +    )
x2 + 2x - 15
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