Question 1

Use DeMoivre's theorem to find the indicated roots of the complex number. ​
Square roots of   ​

Accepted Answer

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

Question 2

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 3

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

Accepted Answer

A)    +   i 
B)    -   i 
C)    +   i 
D)      i 
E)    -   i 
A)    +   i 
B)    -   i 
C)    +   i 
D)      i 
E)    -   i

Question 4

Write the complex number in trigonometric form. ​   ​

Accepted Answer

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

Question 5

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​   ​

Accepted Answer

A) 4.3262 + 13.3148i 
B) 13.3148 + 4.3262i 
C) 13.3148 - 4.3262i 
D) 4.3262 - 13.3148i 
E) None of the above 
A) 4.3262 + 13.3148i 
B) 13.3148 + 4.3262i 
C) 13.3148 - 4.3262i 
D) 4.3262 - 13.3148i 
E) None of the above

Question 6

Find the trigonometric form of   . ​

Accepted Answer

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

Question 7

Use DeMoivre's theorem to find the indicated roots of the complex number. ​
Cube roots of   ​

Accepted Answer

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

Question 8

Find a polynomial function with real coefficients that has the given zeros. ​   ​

Accepted Answer

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

Question 9

Plot the complex number and find its absolute value. ​
-5 + 10i
​

Accepted Answer

A) ​   ​
|-5 + 10i| =   
B) ​   ​
|-5 + 10i| =   
C) ​   ​
|-5 + 10i| =   
D) ​   ​
|-5 + 10i| =   
E) ​   ​
|-5 + 10i| =   
A) ​   ​
|-5 + 10i| =   
B) ​   ​
|-5 + 10i| =   
C) ​   ​
|-5 + 10i| =   
D) ​   ​
|-5 + 10i| =   
E) ​   ​
|-5 + 10i| =

Question 10

Use DeMoivre's theorem to find the indicated roots of the complex number. ​
Fourth roots of   ​

Accepted Answer

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

Question 11

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 12

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​   ​

Accepted Answer

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

Question 13

Perform the indicated operation using the standard form. ​   ​

Accepted Answer

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

Question 14

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​   ​

Accepted Answer

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

Question 15

Write the complex number in standard form. ​   ​

Accepted Answer

A) 17.64i 
B) 4.2i 
C) ​7.2i 
D) -4.2i 
E) -17.64i 
A) 17.64i 
B) 4.2i 
C) ​7.2i 
D) -4.2i 
E) -17.64i

Question 16

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) 19,683 
B) 46,656 
C) 2,187 
D) 243 
E) 6,561 
A) 19,683 
B) 46,656 
C) 2,187 
D) 243 
E) 6,561

Question 17

Perform the operation shown below and leave the result in trigonometric form.

Accepted Answer

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

Question 18

Find all the zeros of the function. ​   ​

Accepted Answer

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

Question 19

Perform the addition or subtraction and write the result in standard form. ​   ​

Accepted Answer

A) 16​ - 8i 
B) ​15 - 7i 
C) ​12 - 4i 
D) ​14 - 6i 
E) ​13 - 5i 
A) 16​ - 8i 
B) ​15 - 7i 
C) ​12 - 4i 
D) ​14 - 6i 
E) ​13 - 5i

Question 20

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

Accepted Answer

A) ​   ​6 
B) ​   6 
C) ​   ​-6​ 
D) ​   -6​ 
E)    6​ 
A) ​   ​6 
B) ​   6 
C) ​   ​-6​ 
D) ​   -6​ 
E)    6​

Use DeMoivre's theorem to find the indicated roots of the complex number. Square roots of

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

Perform the operation and write the result in standard form.

Write the complex number in trigonometric form.

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.

Find the trigonometric form of .

Use DeMoivre's theorem to find the indicated roots of the complex number. Cube roots of

Find a polynomial function with real coefficients that has the given zeros.

Plot the complex number and find its absolute value. -5 + 10i

Use DeMoivre's theorem to find the indicated roots of the complex number. Fourth roots of

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

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

Perform the indicated operation using the standard form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Write the complex number in standard form.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Perform the operation shown below and leave the result in trigonometric form.

Find all the zeros of the function.

Perform the addition or subtraction and write the result in standard form.

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Square roots of ​

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

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

Write the complex number in trigonometric form. ​ ​

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​ ​

Find the trigonometric form of . ​

Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Cube roots of ​

Find a polynomial function with real coefficients that has the given zeros. ​ ​

Plot the complex number and find its absolute value. ​ -5 + 10i ​

Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Fourth roots of ​

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

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​ ​

Perform the indicated operation using the standard form. ​ ​

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​ ​

Write the complex number in standard form. ​ ​

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Perform the operation shown below and leave the result in trigonometric form.

Find all the zeros of the function. ​ ​

Perform the addition or subtraction and write the result in standard form. ​ ​

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use DeMoivre's theorem to find the indicated roots of the complex number. Square roots of

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

Perform the operation and write the result in standard form.

Write the complex number in trigonometric form.

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.

Find the trigonometric form of .

Use DeMoivre's theorem to find the indicated roots of the complex number. Cube roots of

Find a polynomial function with real coefficients that has the given zeros.

Plot the complex number and find its absolute value. -5 + 10i

Use DeMoivre's theorem to find the indicated roots of the complex number. Fourth roots of

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

Perform the indicated operation using the standard form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Write the complex number in standard form.

Find all the zeros of the function.

Perform the addition or subtraction and write the result in standard form.

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