AnswersFL-1200710-Mathematics for College Algebra AAdding and Subtracting Polynomials

Factoring Polynomials: GCF Answers

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1
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What is the greatest common factor of 24s3, 12s4, and 18s?

A
3
B
6
C
3s
D
6s
2
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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)
3

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

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

Which expression is equivalent to 10x2y + 25x2?

A
5x2(2y + 5)
B
5x2y(5 + 20y)
C
10xy(x + 15y)
D
10x2(y + 25)
6

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.
7

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

A
2
B
4
C
2k
D
4k
8

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)
9

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

A
9
B
36
C
3a
D
12a2
10

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

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