Factoring GCF & Trinomials when a = 1
  • 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) 3
B) 2
C) 42
D) 6
  • 3. Choose the Greatest Common Factor (GCF) of: 16, 64
A) 16
B) 24
C) 8
D) 2
  • 4. Choose the Greatest Common Factor (GCF) of: 17, 51
A) 3
B) none
C) 17
D) 2
  • 5. Choose the Greatest Common Factor (GCF) of: 25, 75
A) 15
B) 5
C) 3
D) 25
  • 6. Choose the Greatest Common Factor (GCF) of: 23, 69
A) 23
B) 13
C) 7
D) none
  • 7. Choose the Greatest Common Factor (GCF) of: 45, 105
A) 5
B) 3
C) none
D) 6
  • 8. Choose the Greatest Common Factor (GCF) of: 42, 63
A) 21
B) 7
C) 9
D) 3
  • 9. Choose the Greatest Common Factor (GCF) of: 100, 150
A) 25
B) 5
C) 50
D) none
  • 10. Choose the Greatest Common Factor (GCF) of: 12, 96
A) 4
B) none
C) 12
D) 3
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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