Alg2: Greatest Common Factors
Find the greatest common factor of the terms below.
14x4
7x
7x2
7x3
14x
35x2
48xy3
Find the greatest common factor of the two terms.
8xy2
8x2y2
16xy
16xy2
16x2y2
Factor the polynomial by factoring out the GCF.
6x (x - 42 + 24y)
2x (3x - 21x + 8y)
6x (x -7 + 4y)
3x (2x -14 + 8y)
6x2 - 42x + 24xy
A rectangle has an area of 56x2y units2. If the height 
of the rectangle is 7xy. What is the length of the rectangle. 
width = 
h = 7xy
A = 56x2y
length of s = 
A square has an area of 81y2 inches2. Find the length
of one side of the square, then find the perimeter ofthe square. 
s
A = 81y2
s
perimeter = 
Which terms below could have a Greatest
Common Factor of 5x2y

check all that apply.
50x5y6
20y
10 xy2
5x3y
100x2y2
35x4y4
22x2y
15x
24x2t3
Find the greatest common factor of the terms below.
GCF = 
write your answer with no spaces and use the symbol ^ to indicate exponents. 
example: 2x3+4 is written 2x^3+4
36x2t4
54x5t3
15xy5
Find the greatest common factor of the terms below.
GCF = 
write your answer with no spaces and use the symbol ^ to indicate exponents. 
example: 2x3+4 is written 2x^3+4
45x3y3
21x2y4
48x4
Find the greatest common factor of the terms below.
GCF = 
write your answer with no spaces and use the symbol ^ to indicate exponents. 
example: 2x3+4 is written 2x^3+4
32x2y2
64x3y2
Function f(x) is graphed at 
the right. What might be the
factors of this function?
x(x-0)
x(x+2) 
(x-2)(x+2)
x(x - 2)
The function g(x) is 
graphed at the right. 

Which maybe the factors
of g(x). 
x(x-1)(x-2)
x(x+1)(x+2)
x(x+1)(x-2)
x(x-1)(x+2)
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