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Factoring Polynomials: GCF Answers

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What is the completely factored form of the expression 16x2 + 8x + 32?

A
4(4x2 + 2x + 8)
B
4(12x2 + 4x + 28)
C
8(2x2 + x + 4)
D
8x(8x2 + x + 24)
2
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What is the greatest common factor of 4k, 18k4, and 12?

A
2
B
4
C
2k
D
4k
3

Which expression is equivalent to 10x2y + 25x2?

A
5x2(2y + 5)
B
5x2y(5 + 20y)
C
10xy(x + 15y)
D
10x2(y + 25)
4

What is the fully factored form of 32a3 + 12a2?

A
4a2(8a + 3)
B
4a(8a2 + 3a)
C
12a2(3a + 1)
D
12a(3a2 + a)
5

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?

A
6(10x2 + 8x + 2)
B
12(5x2 + 4x + 2)
C
6x(10x2 + 8x + 2)
D
12x(5x2 + 4x + 2)
6

What is the greatest common factor of 24s3, 12s4, and 18s?

A
3
B
6
C
3s
D
6s
7

What is the factored form of 8x2 + 12x?

A
4(4x2 + 8x)
B
4x(2x + 3)
C
8x(x + 4)
D
8x(x2 + 4)
8

What is the factored form of 3x+24y?

A
3(x+8y)
B
3xy(x+8y)
C
3(3x+24y)
D
3xy(3x+24y)
9

Which statement is true about the factorization of 30x2 + 40xy + 51y2?

A
The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
B
The polynomial can be rewritten as the product of a trinomial and xy.
C
The greatest common factor of the polynomial is 51x2y2.
D
The greatest common factor of the terms is 1.
10

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.24xy12x2444y

A
2
B
4xy
C
12x
D
24
E
44y

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