AnswersCommon Core Algebra I B-ICFactoring Polynomials: GCF

Factoring Polynomials: Double Grouping Answers

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1
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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)
2
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Which expression is equivalent to 10x2y + 25x2?

A
5x2(2y + 5)
B
5x2y(5 + 20y)
C
10xy(x + 15y)
D
10x2(y + 25)
3

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

A
6(4a2 – 3)
B
6(8a2 – 9)
C
6a(12a – 9)
D
6a(18a – 12)
4

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)
5

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?

A
5xy
B
15x3y
C
45x3y5
D
75x5y7
6

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

A
2
B
4
C
2k
D
4k
7

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

A
3
B
6
C
3s
D
6s
8

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9

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)
10

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

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

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