Unit Test — Unit test

Question 1

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

Revolt · Accepted Answer

–2, –4, –3 + 2i, –3 – 2i

Question 2

Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

Revolt · Accepted Answer

f(x) = (x – 7)(x – 5)(x – 5)(x + 2)

Question 3

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

Revolt · Accepted Answer

The graph of the function is positive on (–6, –2).

Question 4

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.

Revolt · Accepted Answer

5 inches

Question 5

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?

Revolt · Accepted Answer

f(x) = x3 – 3x2 + 4x – 2

Question 6

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

Revolt · Accepted Answer

$2,149.63

Question 7

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

Revolt · Accepted Answer

x cubed + x squared + x + 1

Question 8

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Revolt · Accepted Answer

–4, 1, 3

Unit Test — Unit test Answers

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