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Factoring GCF

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.
What is the GCF (Greatest Common Factor) of 8x2-12x?
a)
2x
b)
4x
c)
4x2
d)
2
2.
Factor out the GCF: 
12y4+9y3-6y
a)
3(4y4+3y3-2y)
b)
3y(4y3+3y2-2)
c)
y(12y3+9y2-6)
d)
6y(2y3+3y2-1)
3.
What is the GCF of
 2x2-5x+8  ?
a)
x
b)
2
c)
2x
d)
1
4.
Factor:
 2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
5.
Factor by using GCF:
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
6.
What are the solutions to this equation?
(3x-2)(5x+1)=0
a)
x=5/2,-1/3
b)
x=1/5,-2/3
c)
x=1/3,-5/2
d)
x=2/3,-1/5
7.
What property would you use to solve the following?
(x-3)(x+2)=0
a)
Commutative Property
b)
Associative Property
c)
Zero Product Property
d)
Inverse Property
8.
What is another word for the zero of a polynomial?
a)
root
b)
monomial
c)
y-intercept
d)
turning point
9.
Solve (2x -8) (x + 5) = 0 
a)
x = 5, x = 8
b)
x= -4, x = 5
c)
x= 4, x = -5
d)
x= -5, x = -8
10.
solve:
8x2 = 4x
a)
x= 4, x= 8
b)
x= 0, x= 1/2
c)
x= 1/4, x =0 
d)
x= 4, x= -1/2