Factoring Polynomials: Double Grouping Answers

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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
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 60x4y7, 45x5y5, and 75x3y?

A
5xy
B
15x3y
C
45x3y5
D
75x5y7
4

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

A
4(4x2 + 8x)
B
4x(2x + 3)
C
8x(x + 4)
D
8x(x2 + 4)
5

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

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

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

A
3(x+8y)
B
3xy(x+8y)
C
3(3x+24y)
D
3xy(3x+24y)
7

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)
8

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)
9

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

A
3
B
6
C
3s
D
6s
10

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.

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