Answers TX-Algebra I A-CRSolving Systems of Linear Inequalities

Factoring Polynomials: Difference of Squares Answers

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Which model represents the factors of 4x2 – 9?

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.

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.

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.

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

(2x+3)(x+1)

(2x−3)(x−1)

(3x+2)(x+1)

(3x−2)(x−1)

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

2x−3

2x+3

3x−2

3x+2

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

(3x + 1) and (x – 4)

(3x – 1) and (x + 4)

(3x – 2) and (x + 2)

(3x + 2) and (x – 2)

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

x – 8

2x – 1

3x + 8

4x + 1

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

(3x – 1)(x + 5)

(3x + 5)(x – 1)

(3x – 1)(x – 5)

(3x – 5)(x – 1)

Which is the factorization of 8x2 + 13x – 6?

(8x – 3)(x + 2)

(x – 6)(8x + 1)

(2x – 2)(4x + 3)

(4x – 1)(2x + 6)

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

3x − 5

3x + 5

4x − 5

4x + 5

Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options.

(x + 1)

(2x + 1)

(x + 2)

(5x + 1)

(5x – 2)

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.

5x and −4x

–5x and 4x

–2x and 10x

2x and −10x

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

x – 2

x – 4

x – 6

x – 8

Which equation is true?

9x2 – 25 = (3x – 5)(3x – 5)

9x2 – 25 = (3x – 5)(3x + 5)

9x2 – 25 = –(3x + 5)(3x + 5)

9x2 – 25 = –(3x + 5)(3x – 5)

What are the factors of 6x2+37x−60?

3x−4 and 2x+15

3x+4 and 2x−15

2(x−2) and 3(x+5)

2(x+2) and 3(x−5)

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