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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
2
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The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.

Question illustration
A
both: 3x + 4 units
B
both: 3x + 8 units
C
width: 3x + 4 units; length: 6x + 12 units
D
width: 3x + 8 units; length: 6x + 8 units
3

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

A
length = (x − 8) units and width = (x − 9) units
B
length = (x + 9) units and width = (x + 8) units
C
length = (x − 6) units and width = (x − 12) units
D
length = (x + 12) units and width = (x + 6) units
4

What is the factored form of the polynomial?z2 − 10z + 25

A
(z − 5)(z − 5)
B
(z + 5)(z + 5)
C
(z − 2)(z + 5)
D
(z + 2)(z − 5)
5

What is the factored form of the polynomial?x2 − 15x + 36

A
(x − 4)(x − 9)
B
(x − 3)(x − 12)
C
(x + 4)(x + 9)
D
(x + 3)(x + 12)
6

Which polynomial has factors of 4x – 7 and x + 4?

A
3x2 + x – 3
B
4x2 + 9x – 28
C
3x2 – 7x – 3
D
4x2 – 23x – 28
7

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)
8

Which diagram represents the factors of m2 – 10m + 16 ?

A
A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.
Option A
B
A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.
Option B
C
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.
Option C
D
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.
Option D
9

Which is a factor of 6x2 + x − 7?

A
x + 1
B
2x + 1
C
6x + 7
D
3x + 7
10

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

Question illustration
A
(2x + 2) and (5x – 7)
B
(5x – 2) and (2x + 7)
C
(x – 2) and (10x + 7)
D
(10x + 2) and (x – 7)

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Test — Test Answers — GSD Math Sec II Q1 CR