Factoring Trinomials: a > 1 Answers

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

Question illustration
A
3x – 2
B
3x – 1
C
3x + 1
D
3x + 2
2
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What are the factors of 6x2+37x−60?

A
3x−4 and 2x+15
B
3x+4 and 2x−15
C
2(x−2) and 3(x+5)
D
2(x+2) and 3(x−5)
3

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

Question illustration
A
(3x + 1) and (x – 4)
B
(3x – 1) and (x + 4)
C
(3x – 2) and (x + 2)
D
(3x + 2) and (x – 2)
4

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)
5

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

Question illustration
A
(2x+3)(x+1)
B
(2x−3)(x−1)
C
(3x+2)(x+1)
D
(3x−2)(x−1)
6

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
7

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

Question illustration
A
5x and −4x
B
–5x and 4x
C
–2x and 10x
D
2x and −10x
8

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
9

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.
Option A
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.
Option B
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.
Option C
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 +.
Option D
10

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

A
x − 3
B
2x + 1
C
5x − 3
D
10x + 3

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