Question 1

Find a cubic polynomial function f with real coefficients that has zeros   , 4i, and has the value f(-3)=450. ​

Accepted Answer

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

Question 2

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

Accepted Answer

A) -1 
B) ​-i 
C) ​1 
D) ​i 
E) 5 
A) -1 
B) ​-i 
C) ​1 
D) ​i 
E) 5

Question 3

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 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

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

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

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 8

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to nearest digit.) ​   ​

Accepted Answer

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

Question 9

Do the operation and express the answer in a + bi form.Do not use parentheses in your answer.
​
(3 - 8i) + (10 + 5i)

Accepted Answer

The answer of Do the operation and express the answer...

Question 10

Represent the complex number graphically, and find the trigonometric form of the number. ​
5 - 5i
​

Accepted Answer

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

Question 11

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 12

Write the following roots in standard form. ​
Fourth roots of   ​

Accepted Answer

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

Question 13

Write the complex number in standard form. ​   ​

Accepted Answer

A) 3 +   i​ 
B) 4 +   i 
C) 7 -   i 
D) 3 -   i 
E) 4 -   i 
A) 3 +   i​ 
B) 4 +   i 
C) 7 -   i 
D) 3 -   i 
E) 4 -   i

Question 14

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

Accepted Answer

A) -6 
B) -48 
C) 64 
D) 48 
E) -64 
A) -6 
B) -48 
C) 64 
D) 48 
E) -64

Question 15

Find the standard form of the complex number shown below.

Accepted Answer

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

Question 16

Find all zeros of the function ​f​(​x)=(​x - 5)(​x + 3i)(​x - 3i). ​

Accepted Answer

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

Question 17

Find the trigonometric form of the complex number shown below. ​
-6i

Accepted Answer

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

Question 18

Solve the equation and write complex solutions in standard form.

Accepted Answer

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

Question 19

Find all solutions to the following equation.

Accepted Answer

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

Question 20

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

Accepted Answer

A) 185,193i 
B) -57i 
C) -   i 
D)    i 
E) -185,193i 
A) 185,193i 
B) -57i 
C) -   i 
D)    i 
E) -185,193i

Find a cubic polynomial function f with real coefficients that has zeros , 4i, and has the value f(-3)=450.

Simplify the complex number and write it in standard form.

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.)

Solve the equation.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.(Round your answer to four decimal places.)

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to nearest digit.)

Do the operation and express the answer in a + bi form.Do not use parentheses in your answer. (3 - 8i) + (10 + 5i)

Represent the complex number graphically, and find the trigonometric form of the number. 5 - 5i

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

Write the following roots in standard form. Fourth roots of

Write the complex number in standard form.

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 shown below.

Find all zeros of the function f(x)=(x - 5)(x + 3i)(x - 3i).

Find the trigonometric form of the complex number shown below. -6i

Solve the equation and write complex solutions in standard form.

Find all solutions to the following equation.

Simplify the complex number and write it in standard form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Find a cubic polynomial function f with real coefficients that has zeros , 4i, and has the value f(-3)=450. ​

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

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.)

Solve the equation.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.(Round your answer to four decimal places.) ​ ​

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to nearest digit.) ​ ​

Do the operation and express the answer in a + bi form.Do not use parentheses in your answer. ​ (3 - 8i) + (10 + 5i)

Represent the complex number graphically, and find the trigonometric form of the number. ​ 5 - 5i ​

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

Write the following roots in standard form. ​ Fourth roots of ​

Write the complex number in standard form. ​ ​

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 shown below.

Find all zeros of the function ​f​(​x)=(​x - 5)(​x + 3i)(​x - 3i). ​

Find the trigonometric form of the complex number shown below. ​ -6i

Solve the equation and write complex solutions in standard form.

Find all solutions to the following equation.

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Find a cubic polynomial function f with real coefficients that has zeros , 4i, and has the value f(-3)=450.

Simplify the complex number and write it in standard form.

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

Solve the equation.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.(Round your answer to four decimal places.)

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

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to nearest digit.)

Do the operation and express the answer in a + bi form.Do not use parentheses in your answer. (3 - 8i) + (10 + 5i)

Represent the complex number graphically, and find the trigonometric form of the number. 5 - 5i

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

Write the following roots in standard form. Fourth roots of

Write the complex number in standard form.

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

Find all zeros of the function f(x)=(x - 5)(x + 3i)(x - 3i).

Find the trigonometric form of the complex number shown below. -6i

Simplify the complex number and write it in standard form.