Factoring Polynomials: Difference of Squares Answers
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Which expression is a factor of 10x2 + 11x + 3?
A
x − 3B
2x + 1C
5x − 3D
10x + 32
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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−3B
2x+3C
3x−2D
3x+23
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
A
x – 2B
x – 4C
x – 6D
x – 84
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.
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.
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.
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 +.
5
The model represents the factorization of 2x2+5x+3.
A
(2x+3)(x+1)B
(2x−3)(x−1)C
(3x+2)(x+1)D
(3x−2)(x−1)6
The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1.
A
3x – 2B
3x – 1C
3x + 1D
3x + 27
What are the factors of 6x2+37x−60?
A
3x−4 and 2x+15B
3x+4 and 2x−15C
2(x−2) and 3(x+5)D
2(x+2) and 3(x−5)8
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.
A
5x and −4xB
–5x and 4xC
–2x and 10xD
2x and −10x9
Jenna constructs the model to represent 3x2 + 11x – 4.
A
(3x + 1) and (x – 4)B
(3x – 1) and (x + 4)C
(3x – 2) and (x + 2)D
(3x + 2) and (x – 2)10
Which expression is a factor of 12x2 + 29x – 8?
A
x – 8B
2x – 1C
3x + 8D
4x + 1Did you find these answers helpful?
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