Question 1

Find the trigonometric form of   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

Select the graph of all complex numbers z satisfying the given condition. ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 3

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Accepted Answer

A)    
B)    
C) 19683 
D)    
E) -19683 
A)    
B)    
C) 19683 
D)    
E) -19683

Question 4

Find the standard form of the complex number.Then represent the complex number graphically. ​   ​

Accepted Answer

A) ​   ​7 
B) ​   7 
C) ​   ​-7​ 
D) ​   -7​ 
E) None of the above 
A) ​   ​7 
B) ​   7 
C) ​   ​-7​ 
D) ​   -7​ 
E) None of the above

Question 5

Write the quotient in standard form. ​   ​

Accepted Answer

A) ​​4i 
B)    
C) ​   
D) ​​-4i 
E) ​   
A) ​​4i 
B)    
C) ​   
D) ​​-4i 
E) ​

Question 6

Divide the complex numbers below and leave the result in trigonometric form.

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 7

Find all the zeros of the function and write the polynomial as a product of linear factors. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Solve the equation and write complex solutions in standard form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Write the complex number in standard form. ​   ​

Accepted Answer

A) 6i 
B) -6i 
C) 36i 
D) 7i 
E) -36i 
A) 6i 
B) -6i 
C) 36i 
D) 7i 
E) -36i

Question 10

Do the operation and express the answer in a + bi form. ​   ​

Accepted Answer

A) 28 - 5 i 
B) - 28 + 6 i 
C) - 5 + 6 i 
D) 5 - 6 i 
E) 28 + 6 i 
A) 28 - 5 i 
B) - 28 + 6 i 
C) - 5 + 6 i 
D) 5 - 6 i 
E) 28 + 6 i

Question 11

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Find all solutions to the following equation. ​
​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) ​   
A)    
B)    
C)    
D)    
E) ​

Question 13

Perform the operation and write the result in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Write the complex number in standard form. ​   ​

Accepted Answer

A)    
B) -   
C) ​   
D)    
E) ​   
A)    
B) -   
C) ​   
D)    
E) ​

Question 15

Find all solutions to the following equation.

Accepted Answer

A) ​   
B)    
C) ​   ​ 
D)    
E)    
A) ​   
B)    
C) ​   ​ 
D)    
E)

Question 16

Solve the equation and write complex solutions in standard form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Solve the equation .Write complex solutions in standard form.   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 19

Find the standard form of the complex number   .Round values to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Find all the zeros of the function and write the polynomial as a product of linear factors. ​   ​

Accepted Answer

A) The zeros of h(x) are     
B) The zeros of h(x) are     
C) The zeros of h(x) are     
D) The zeros of h(x) are     
E) The zeros of h(x) are     
A) The zeros of h(x) are     
B) The zeros of h(x) are     
C) The zeros of h(x) are     
D) The zeros of h(x) are     
E) The zeros of h(x) are

Find the trigonometric form of .

Select the graph of all complex numbers z satisfying the given condition.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Find the standard form of the complex number.Then represent the complex number graphically.

Write the quotient in standard form.

Divide the complex numbers below and leave the result in trigonometric form.

Find all the zeros of the function and write the polynomial as a product of linear factors.

Solve the equation and write complex solutions in standard form.

Write the complex number in standard form.

Do the operation and express the answer in a + bi form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Find all solutions to the following equation.

Perform the operation and write the result in standard form.

Write the complex number in standard form.

Find all solutions to the following equation.

Solve the equation and write complex solutions in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Solve the equation .Write complex solutions in standard form.

Find the standard form of the complex number .Round values to the nearest hundredth.

Find all the zeros of the function and write the polynomial as a product of linear factors.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Find the trigonometric form of .

Select the graph of all complex numbers z satisfying the given condition. ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Find the standard form of the complex number.Then represent the complex number graphically. ​ ​

Write the quotient in standard form. ​ ​

Divide the complex numbers below and leave the result in trigonometric form.

Find all the zeros of the function and write the polynomial as a product of linear factors. ​ ​

Solve the equation and write complex solutions in standard form.

Write the complex number in standard form. ​ ​

Do the operation and express the answer in a + bi form. ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ ​

Find all solutions to the following equation. ​ ​ ​

Perform the operation and write the result in standard form. ​ ​

Write the complex number in standard form. ​ ​

Find all solutions to the following equation.

Solve the equation and write complex solutions in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Solve the equation .Write complex solutions in standard form. ​

Find the standard form of the complex number .Round values to the nearest hundredth.

Find all the zeros of the function and write the polynomial as a product of linear factors. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Select the graph of all complex numbers z satisfying the given condition.

Find the standard form of the complex number.Then represent the complex number graphically.

Write the quotient in standard form.

Find all the zeros of the function and write the polynomial as a product of linear factors.

Write the complex number in standard form.

Do the operation and express the answer in a + bi form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Find all solutions to the following equation.

Perform the operation and write the result in standard form.

Write the complex number in standard form.

Solve the equation .Write complex solutions in standard form.

Find all the zeros of the function and write the polynomial as a product of linear factors.