Factoring Polynomials: Difference of Squares Answers

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

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

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
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

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)
8

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)
9

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
10

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

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