AnswersFL-1200310-Algebra 1Factoring Polynomials: GCF

Factoring Trinomials: a > 1 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.
Option A
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.
Option B
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.
Option C
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 +.
Option D
2
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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)
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 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)
8

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

A
x − 3
B
2x + 1
C
5x − 3
D
10x + 3
9

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)

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