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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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)
3

What is the greatest common factor of 12a and 9a2?

A
9
B
36
C
3a
D
12a2
4

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

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

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

A
3
B
6
C
3s
D
6s
6

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

A
2
B
4
C
2k
D
4k
7

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
8

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)
9

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

A
3(x+8y)
B
3xy(x+8y)
C
3(3x+24y)
D
3xy(3x+24y)
10

Which expression is equivalent to 10x2y + 25x2?

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

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