Which expression is a factor of 10x2 + 11x + 3?

A

x − 3

B

2x + 1

C

5x − 3

D

10x + 3

2

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Which model represents the factors of 4x2 – 9?

A

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 negative. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 negative x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 2 negative x, 3 negative.

B

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 1 negative x, 3 negative.

C

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 + x. The last 3 rows are the same: 2 negative x, 3 negative.

D

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 2 negative x, 3 +.

3

What is the factorization of 3x2 – 8x + 5?

A

(3x – 1)(x + 5)

B

(3x + 5)(x – 1)

C

(3x – 1)(x – 5)

D

(3x – 5)(x – 1)

4

Which expression is a factor of 12x2 + 29x – 8?

A

x – 8

B

2x – 1

C

3x + 8

D

4x + 1

5

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A

2x−3

B

2x+3

C

3x−2

D

3x+2

6

The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?

A

3x − 5

B

3x + 5

C

4x − 5

D

4x + 5

7

Jenna constructs the model to represent 3x2 + 11x – 4.

A

(3x + 1) and (x – 4)

B

(3x – 1) and (x + 4)

C

(3x – 2) and (x + 2)

D

(3x + 2) and (x – 2)

8

The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1.

A

3x – 2

B

3x – 1

C

3x + 1

D

3x + 2

9

The model represents the factorization of 2x2+5x+3.

A

(2x+3)(x+1)

B

(2x−3)(x−1)

C

(3x+2)(x+1)

D

(3x−2)(x−1)

10

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

A

x – 2

B

x – 4

C

x – 6

D

x – 8

Factoring Polynomials: Difference of Squares Answers

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