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WorksheetsAlgebra 2 Final Review: Factoring
Total questions: 10
Worksheet time: 47mins
Name
Class
Date
1.
Factor out the GCF:
10x³ - 15x
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
2.
Factor using GCF:
2x + 18
a)
2(x + 9)
b)
2(x + 8)
c)
2(2x + 9)
d)
cannot be factored
3.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
4.
Factor by Grouping:
2x3 + 5x2 + 6x + 15
a)
(x2 + 3) (2x + 5)
b)
(x2 - 3) (2x - 5)
c)
(2x2 - 3) (x - 5)
d)
(2x2 + 3) (x + 5)
5.
Milo factors a quintic trinomial. His factors are: 2x3(x+6)(x−3) What are his zeros?
a)
x = 0, x = 6, x = -3
b)
x = -6, x = 3
c)
x = 2, x = -6, x = -3
d)
x = 0, x = -6, x = 3
6.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
7.
What are the roots?
a)
x = {-2, 1}
b)
x = {1, 2}
c)
x = {-1, 2}
d)
x = {0, -4}
8.
What are the zeros?
a)
x = {-.5, 3.5}
b)
x = {0, 6}
c)
x = {-2.5, 4.5}
d)
x = {-1, 4}
9.
Determine the roots for
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
10.
What is another word for solutions to a quadratic equation? Choose ALL that apply.
a)
y-intercepts
b)
roots
c)
x-intercepts
d)
zeros
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