Factoring Trinomials: a > 1 Answers

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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)
2
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Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options.

A
(x + 1)
B
(2x + 1)
C
(x + 2)
D
(5x + 1)
E
(5x – 2)
3

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
4

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
5

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)
6

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)
7

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
8

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
9

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

A
x – 8
B
2x – 1
C
3x + 8
D
4x + 1
10

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

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