AnswersAlgebra IFactoring Trinomials: a > 1

Factoring Trinomials: a > 1 — Quiz Answers

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1
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What is the factorization of 3 x squared negative 8 x plus 5 ?

A
3 x negative 1 imes x negative 5
B
3 x negative 5 times x negative 1
C
3 x plus 5 times x negative 1
D
3 x negative 1 times x plus 5
2
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Sari is factoring the polynomial 2 x squared plus 5 x plus 3 If one factor is x plus 1 , what is the other factor?

A
2 x negative 3
B
3 x plus 2
C
2 x plus 3
D
3 x negative 2
3

Which model represents the factors of 4 x squared negative 9 ?

A
Image with description An algebra tile layout with tiles arranged in a grid. Along the top row are 2 tiles labeled positive x, followed by 3 tiles each labeled negative 1. Along the left side are 2 tiles each labeled positive x, followed by 3 tiles each labeled positive 1. Inside the main grid, the upper left section contains 4 large square tiles each labeled positive x squared, arranged in 2 rows and 2 columns. To the right of the upper positive x squared tiles in the first row are 3 rectangular tiles each labeled positive x. To the right of the lower positive x squared tiles in the second row are 3 rectangular tiles each labeled negative x. Below the positive x squared tiles are 3 rectangular tiles each labeled positive x, arranged in 3 rows and 1 column. To the right of these are 3 rectangular tiles each labeled negative x, arranged in 3 rows and 1 column. In the lower right section are 9 small square tiles each labeled negative 1, arranged in 3 rows and 3 columns.
B
Image with description An algebra tile layout with tiles arranged in a grid. Along the top row are 2 tiles labeled positive x, followed by 3 tiles each labeled positive 1. Along the left side are 2 tiles each labeled positive x, followed by 3 tiles each labeled positive 1. Inside the main grid, the upper left section contains 4 large square tiles each labeled positive x squared, arranged in 2 rows and 2 columns. To the right of the upper positive x squared tiles in the first row are 3 rectangular tiles each labeled positive x. To the right of the lower positive x squared tiles in the second row are 3 rectangular tiles each labeled negative x. Below the positive x squared tiles in the first column are 3 rectangular tiles each labeled positive x, arranged in 3 rows and 1 column. To the right of these are 3 rectangular tiles each labeled negative x, arranged in 3 rows and 1 column. In the lower right section are 9 small square tiles each labeled positive 1, arranged in 3 rows and 3 columns.
C
Image with description An algebra tile layout with tiles arranged in a grid. Along the top row are 2 tiles labeled positive x, followed by 3 tiles each labeled positive 1. Along the left side are 2 tiles each labeled positive x, followed by 3 tiles each labeled negative 1. Inside the main grid, the upper left section contains 4 large square tiles each labeled positive x squared, arranged in 2 rows and 2 columns. To the right of the positive x squared tiles are 6 rectangular tiles each labeled positive x, arranged in 2 rows and 3 columns. Below the positive x squared tiles are 6 rectangular tiles each labeled negative x, arranged in 3 rows and 2 columns. In the lower right section are 9 small square tiles each labeled negative 1, arranged in 3 rows and 3 columns.
D
Image with description An algebra tile layout with tiles arranged in a grid. Along the top row are 2 tiles labeled positive x, followed by 3 tiles each labeled negative 1. Along the left side are 2 tiles each labeled positive x, followed by 3 tiles each labeled negative 1. Inside the main grid, the upper left section contains 4 large square tiles each labeled positive x squared, arranged in 2 rows and 2 columns. To the right of the positive x squared tiles are 6 rectangular tiles each labeled negative x, arranged in 2 rows and 3 columns. Below the positive x squared tiles are 6 rectangular tiles each labeled negative x, arranged in 3 rows and 2 columns. In the lower right section are 9 small square tiles each labeled negative 1, arranged in 3 rows and 3 columns.
4

Which equation is true?

A
9 x squared negative 25 is equal to 3 x negative 5 times 3 x plus 5
B
9 x squared negative 25 is equal to negative 3 x plus 5 times 3 x plus 5
C
9 x squared negative 25 is equal to negative 3 x plus 5 times 3 x negative 5
D
9 x squared negative 25 is equal to 3 x negative 5 times 3 x negative 5
5

Which factors can be multiplied together to make the trinomial 5⁢x2+8⁢x−4? Choose two correct answers. 5 x squared negative 2 x 10 x negative 4

A
x plus 2
B
5 x negative 2
C
2 x plus 1
D
5 x plus 1
E
x plus 1
6

The polynomial 3 x squared negative 10 x has a factor of 3 x negative 4 What is the other factor of 3 x squared negative 10 x plus 8 ?

A
x negative 6
B
x negative 2
C
x negative 4
D
x negative 8
7

What are the factors of 6 x squared plus 37 x negative 60 ?

A
3 x plus 4 and 2 x negative 15
B
2 times x negative 2 and 3 times x plus 5
C
2 times x plus 2 and 3 times x minus 5
D
3 x negative 4 and 2 x plus 15
8

Which expression is a factor of 12 x squared plus 29 x negative 8 ?

A
2 x negative 1
B
3 x plus 8
C
x negative 8
D
4 x plus 1
9

Which is the factorization of 8 x squared plus 13 x negative 6 ?

A
8 x negative 3 times x plus 2
B
x negative 6 times 8 x plus 1
C
2 x negative 2 times 4 x plus 3
D
4 x negative 1 times 2 x plus 6
10

Which statement is true about the prime polynomial 2 x squared plus 3 x plus 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.

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