Unit Test — Unit test Answers

What is the completely factored form of x2 – 16xy + 64y2?

xy(x – 16 + 64y)

xy(x + 16 + 64y)

(x – 8y)(x – 8y)

(x + 8y)(x + 8y)

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

$6,075

$6,118

$6,456

$6,778

What is the completely factored form of p4 – 16?

(p – 2)(p – 2)(p + 2)(p + 2)

(p – 2)(p – 2)(p – 2)(p – 2)

(p minus 2) (p + 2) (p squared + 2 p + 4)

(p minus 2) (p + 2) (p squared + 4)

Which represents a side length of a square that has an area of 450 square inches?

in.

in.

112.5 in.

115.5 in.

If (x – 2k) is a factor of f(x), which of the following must be true?

f(2k) = 0

f(–2k) = 0

A root of f(x) is x = –2k.

A y intercept of f(x) is x = 2k.

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?

mc023-2.jpg

mc023-3.jpg

mc023-4.jpg

mc023-5.jpg

Which expression is equivalent to ?

mc012-2.jpg

mc012-3.jpg

mc012-4.jpg

mc012-5.jpg

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

f(x) has two real roots and one imaginary root.

f(x) has three real roots.

f(x) has five real roots.

f(x) has three real roots and two imaginary roots.

Which expression is equivalent to ?

8y10

8y50

32y10

32y50

What is the product?

mc008-2.jpg

mc008-3.jpg

mc008-4.jpg

mc008-5.jpg

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

x – 2

x + 2

x – 4

x + 1

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

x cubed minus x squared + x minus 1

x cubed + x squared + x + 1

x3 – 2

What is the simplest form of ?

3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot

3 x squared y (RootIndex 4 StartRoot y EndRoot)

9 x squared y (RootIndex 4 StartRoot y EndRoot)

9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)

Which of the following describes the roots of the polynomial function ?

–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3

–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4

2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3

2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

x + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction

x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction

x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

What is the missing coefficient? =

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

(x + 2)(x + 60)

(x – 2)(x – 60)

(x – 10)(x + 2)(x + 6)

(x + 10)(x – 2)(x – 6)

Which of the following is the complete list of roots for the polynomial function ?

–3 + 2i, –3 – 2i

–2, –4

–2, –4, –3 + 2i, –3 – 2i

–2, –4, –3 + 2i, 3 + 2i

The price that a company charged for a basketball hoop is given by the equation where x is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?