Question 1

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

Accepted Answer

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

Question 2

Do the operation and express the answer in a + bi form. ​
(5 - 5i) + (8 + 3i)
​

Accepted Answer

A) 2 - 13i 
B) - 13 + 2i 
C) 13 + 2i 
D) - 13 - 2i 
E) 13 - 2i 
A) 2 - 13i 
B) - 13 + 2i 
C) 13 + 2i 
D) - 13 - 2i 
E) 13 - 2i

Question 3

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

Accepted Answer

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

Question 4

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 5

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 6

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.) ​   ​

Accepted Answer

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

Question 7

Represent the complex number graphically. ​
2
​

Accepted Answer

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

Question 8

Write the complex number in standard form. ​
-4i + i2
​

Accepted Answer

A) ​-1 + 4i 
B) ​-1 + 7i 
C) ​1 + 4i 
D) ​1 - 4i 
E) ​-1 - 4i 
A) ​-1 + 4i 
B) ​-1 + 7i 
C) ​1 + 4i 
D) ​1 - 4i 
E) ​-1 - 4i

Question 9

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 10

Perform the indicated operation using the standard form. ​   ​

Accepted Answer

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

Question 11

Find the trigonometric form of the complex number shown below.

Accepted Answer

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

Question 12

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 13

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 14

Simplify the complex number and write it in standard form. ​   ​

Accepted Answer

A) ​14i3 
B) ​​-14i3 
C) ​14 
D) ​​​-14i 
E) ​14i 
A) ​14i3 
B) ​​-14i3 
C) ​14 
D) ​​​-14i 
E) ​14i

Question 15

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 16

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

Accepted Answer

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

Question 17

Find real numbers a and b such that the equation is true. ​   ​

Accepted Answer

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

Question 18

Plot the following complex number. -3

Accepted Answer

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

Question 19

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 20

Determine the number of solutions of the equation in the complex number system. ​
​8x3 + 9x + 10 = 0
​

Accepted Answer

A) ​8x3 + 9x + 10 = 0 has degree 8 so there are three solutions in the complex number system. 
B) ​8x3 + 9x + 10 = 0 has degree 3 so there are three solutions in the complex number system. 
C) ​8x3 + 9x + 10 = 0 has degree 9 so there are no solutions in the complex number system. 
D) ​8x3 + 9x + 10 = 0 has degree 8 so there are no solutions in the complex number system. 
E) ​8x3 + 9x + 10 = 0 has degree 9 so there are three solutions in the complex number system. 
A) ​8x3 + 9x + 10 = 0 has degree 8 so there are three solutions in the complex number system. 
B) ​8x3 + 9x + 10 = 0 has degree 3 so there are three solutions in the complex number system. 
C) ​8x3 + 9x + 10 = 0 has degree 9 so there are no solutions in the complex number system. 
D) ​8x3 + 9x + 10 = 0 has degree 8 so there are no solutions in the complex number system. 
E) ​8x3 + 9x + 10 = 0 has degree 9 so there are three solutions in the complex number system.

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

Do the operation and express the answer in a + bi form. (5 - 5i) + (8 + 3i)

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

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

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)

Represent the complex number graphically. 2

Write the complex number in standard form. -4i + i²

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

Perform the indicated operation using the standard form.

Find the trigonometric form of the complex number shown below.

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.

Simplify the complex number and write it in standard form.

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

Perform the operation and write the result in standard form.

Find real numbers a and b such that the equation is true.

Plot the following complex number. -3

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

Determine the number of solutions of the equation in the complex number system. 8x³ + 9x + 10 = 0

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. ​ Fifth roots of ​

Do the operation and express the answer in a + bi form. ​ (5 - 5i) + (8 + 3i) ​

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

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

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.) ​ ​

Represent the complex number graphically. ​ 2 ​

Write the complex number in standard form. ​ -4i + i2 ​

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

Perform the indicated operation using the standard form. ​ ​

Find the trigonometric form of the complex number shown below.

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. ​ ​

Simplify the complex number and write it in standard form. ​ ​

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

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

Find real numbers a and b such that the equation is true. ​ ​

Plot the following complex number. -3

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

Determine the number of solutions of the equation in the complex number system. ​ ​8x3 + 9x + 10 = 0 ​

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. Fifth roots of

Do the operation and express the answer in a + bi form. (5 - 5i) + (8 + 3i)

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

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

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)

Represent the complex number graphically. 2

Write the complex number in standard form. -4i + i²

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

Perform the indicated operation using the standard form.

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

Simplify the complex number and write it in standard form.

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

Perform the operation and write the result in standard form.

Find real numbers a and b such that the equation is true.

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

Determine the number of solutions of the equation in the complex number system. 8x³ + 9x + 10 = 0