Division of Polynomials — Unit test Answers

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What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 5
Option A
B
x greater-than-or-equal-to 2
Option B
C
x greater-than-or-equal-to 5
Option C
D
x greater-than-or-equal-to 10
Option D
2
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Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

A
x = –7 or x = 6
B
x = –7 or x = –6
C
x = –6 or x = 7
D
x = 6 or x = 7
3

What is the difference of the polynomials?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?

A
12 cm
B
24 cm
C
46 cm
D
60 cm
5

What is the missing coefficient? =

Question illustration
A
4
B
8
C
10
D
22
6

Use completing the square to solve for in the equation .

Question illustration
A
x = –1 or 15
B
x = 1 or 7
C
x = 4 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 4 plus-or-minus StartRoot 73 EndRoot
Option D
7

Which function has the domain ?

Question illustration
A
y = StartRoot x + 11 EndRoot + 5
Option A
B
y = StartRoot x minus 11 EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot minus 11
Option C
D
y = StartRoot x + 5 EndRoot + 11
Option D
8

What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

A
x – 2
B
x + 2
C
x – 4
D
x + 1
9

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan?A = lw

Question illustration
A
10.4 in.
B
13.9 in.
C
18 in.
D
24 in.
10

Which statement about –2h2 – 15h – 7 is true?

A
One of the factors is (h + 2).
B
One of the factors is (3h – 2).
C
One of the factors is (2h + 1).
D
One of the factors is (h – 7).
11

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

A
36
B
64
C
100
D
117
12

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? V = lwhP = 2(l + w)

A
y = 5(28 – x)(x)
B
y = 5(28 – 2x)(x)
C
y = 5(14 – x)(x)
D
y = 5(14 – 2x)(x)
14

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Solve for in the equation .

Question illustration
A
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
Option A
B
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
Option B
C
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
Option C
D
x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Option D
16

What is the completely factored form of p4 – 16?

A
(p – 2)(p – 2)(p + 2)(p + 2)
B
(p – 2)(p – 2)(p – 2)(p – 2)
C
(p minus 2) (p + 2) (p squared + 2 p + 4)
Option C
D
(p minus 2) (p + 2) (p squared + 4)
Option D
17

A cube with side length is stacked on another cube with side length . What is the total volume of the cubes in factored form?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

What is the factored form of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

A
commutative property of addition
B
identity property of multiplication
C
associative property of addition
D
commutative property of multiplication
20

Which of the following is an example of why irrational numbers are not closed under addition?

A
, and 4 is not irrational
Option A
B
, and 1 is not irrational
Option B
C
, and 0 is not irrational
Option C
D
–3 + 3 = 0, and 0 is not irrational

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