Factoring Polynomials: GCF — Unit test Answers

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Which of the following expresses as a fraction in simplest form?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

A
g = –9 and h = 7
B
g = 9 and h = –3
C
g = –7 and h = 7
D
g = 7 and h = 3
3

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
4m(75m2 + 30m +40)
B
10m(30m2 + 12m +18)
C
30(10m2 +4m + 60)
D
60(5m2 +2m +3)
4

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
5

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
6

What is the greatest common factor of 4xy2 and 20x2y4?

A
4xy
B
4xy2
C
24xy
D
24xy2
7

The product of a non-zero rational number and an irrational number can always be written as

A
a fraction.
B
a terminating decimal.
C
a non-repeating, non-terminating decimal.
D
a repeating decimal
8

Why is the product of a rational number and an irrational number irrational?

A
because the product is always a non-terminating, non-repeating decimal
B
because the product is always a fraction
C
because the product is always a negative number
D
because the product is always a repeating or a terminating decimal

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