Factoring Trinomials: a > 1 Answers

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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)
2
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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
3

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)
4

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
5

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
6

Which statement is true about the prime polynomial 2x2 + 3x + 3?

A
It cannot be modeled with a rectangle.
B
It can be modeled with a square.
C
It cannot be modeled with all positive tiles.
D
It can only be modeled with an odd number of tiles.
7

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
8

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

A
x − 3
B
2x + 1
C
5x − 3
D
10x + 3
9

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

A
x – 8
B
2x – 1
C
3x + 8
D
4x + 1
10

Which equation is true?

A
9x2 – 25 = (3x – 5)(3x – 5)
B
9x2 – 25 = (3x – 5)(3x + 5)
C
9x2 – 25 = –(3x + 5)(3x + 5)
D
9x2 – 25 = –(3x + 5)(3x – 5)

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