Answers NJ-Algebra I CRUnit Test

Factoring Polynomials: GCF Answers

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What is the completely factored form of the expression 16x2 + 8x + 32?

4(4x2 + 2x + 8)

4(12x2 + 4x + 28)

8(2x2 + x + 4)

8x(8x2 + x + 24)

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

Which expression is equivalent to 10x2y + 25x2?

5x2(2y + 5)

5x2y(5 + 20y)

10xy(x + 15y)

10x2(y + 25)

What is the fully factored form of 32a3 + 12a2?

4a2(8a + 3)

4a(8a2 + 3a)

12a2(3a + 1)

12a(3a2 + a)

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?

6(10x2 + 8x + 2)

12(5x2 + 4x + 2)

6x(10x2 + 8x + 2)

12x(5x2 + 4x + 2)

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

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

4(4x2 + 8x)

4x(2x + 3)

8x(x + 4)

8x(x2 + 4)

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

3(x+8y)

3xy(x+8y)

3(3x+24y)

3xy(3x+24y)

Which statement is true about the factorization of 30x2 + 40xy + 51y2?

The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).

The polynomial can be rewritten as the product of a trinomial and xy.

The greatest common factor of the polynomial is 51x2y2.

The greatest common factor of the terms is 1.

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

4xy

12x

44y

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Factoring Polynomials: GCF Answers

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