Factoring Polynomials: GCF Answers

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

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

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

A
7ab3
B
6a4b
C
42a5b4
D
77a8b7
4

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.
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

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

A
a base area of 4y square units and height of 4y2 + 4y + 12 units
B
a base area of 8y2 square units and height of y2 + 2y + 4 units
C
a base area of 12y square units and height of 4y2 + 4y + 36 units
D
a base area of 16y2 square units and height of y2 + y + 3 units
7

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

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

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?

A
5h+8
B
8h+5
C
7h+11.2
D
11.2h+7
9

What is the greatest common factor of 4k, 18k4, and 12?

A
2
B
4
C
2k
D
4k
10

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

A
3
B
6
C
3s
D
6s

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