AnswersFL-1200710-Mathematics for College Algebra APolynomial Division

Polynomial Division — Unit test Answers

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1
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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)
2
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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
3

The model represents a perfect square monomial.What equation is represented by the model?

Question illustration
A
(2x)2 = 4x2
B
(2x2)2 = 4x4
C
(4x)2 = 8x2
D
(4x2)2 = 8x8
4

What is the greatest common factor of 4xy2 and 20x2y4?

A
4xy
B
4xy2
C
24xy
D
24xy2
5

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)
6

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
7

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

A
Marisol should realize that her work shows that the polynomial is prime.
B
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
C
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
D
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
8

Which is a factor of 144 − 49x2?

A
12 - 7x2
B
72 – 7x2
C
12 – 7x
D
72 + 7x
9

Which is the completely factored form of 18x4 – 42x3 + 24x2?

A
3x(3x – 4)(2x – 2)
B
3x2(3x – 4)(2x – 2)
C
6x(3x – 4)(x – 1)
D
6x2(3x – 4)(x – 1)
10

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
11

What is the factorization of 81a6 - 100?

A
(9a2 − 10)(9a3 + 10)
B
(9a2 − 10)(9a3 − 10)
C
(9a3 − 10)(9a3 + 10)
D
(9a3 − 10)(9a3 − 10)
12

Which expression is equivalent to 64 − 9x2?

A
(32)2 − (3x)2
B
(32)2 + (−3x)2
C
(8)2 − (3x)2
D
(8)2 + (−3x)2
13

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)
14

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
15

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
4m(75m2 + 30m +40)
B
10m(30m2 + 12m +18)
C
30(10m2 +4m + 60)
D
60(5m2 +2m +3)

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