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 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 60x4y7, 45x5y5, and 75x3y?

A
5xy
B
15x3y
C
45x3y5
D
75x5y7
3

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
4

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

A
3(x+8y)
B
3xy(x+8y)
C
3(3x+24y)
D
3xy(3x+24y)
5

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)

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