Factoring Trinomials: a = 1 (Continued) Answers

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

A
2
B
4
C
2k
D
4k
3

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

A
3(x+8y)
B
3xy(x+8y)
C
3(3x+24y)
D
3xy(3x+24y)
4

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)
5

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

A
4(4x2 + 8x)
B
4x(2x + 3)
C
8x(x + 4)
D
8x(x2 + 4)
6

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

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

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

A
3
B
6
C
3s
D
6s
8

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

A
5xy
B
15x3y
C
45x3y5
D
75x5y7
9

Which expression is equivalent to 10x2y + 25x2?

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

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

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