AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: Double Grouping

Factoring Trinomials: a > 1 Answers

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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
2
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Which is the factorization of 8x2 + 13x – 6?

A
(8x – 3)(x + 2)
B
(x – 6)(8x + 1)
C
(2x – 2)(4x + 3)
D
(4x – 1)(2x + 6)
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

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

A
x – 8
B
2x – 1
C
3x + 8
D
4x + 1
5

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)
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

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

A
x − 3
B
2x + 1
C
5x − 3
D
10x + 3
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 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.
10

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

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