Factoring Polynomials: Difference of Squares Answers
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1
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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 +.
2
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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)3
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+24
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)5
Which expression is a factor of 12x2 + 29x – 8?
A
x – 8B
2x – 1C
3x + 8D
4x + 16
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)7
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)8
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)9
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 – 810
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)Did you find these answers helpful?
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