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Represent the complex number graphically, and find the trigonometric form of the number. ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​


A) ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​
B) ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​
C) ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​
D) ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​
E) ​ Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​      Represent the complex number graphically, and find the trigonometric form of the number. ​   ​ A) ​       B) ​       C) ​       D) ​       E) ​

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Find the cube roots of the following complex number.Write each of the roots in standard form. -1


A) Find the cube roots of the following complex number.Write each of the roots in standard form. -1 A)    B)    C) -1 D)    E)
B) Find the cube roots of the following complex number.Write each of the roots in standard form. -1 A)    B)    C) -1 D)    E)
C) -1
D) Find the cube roots of the following complex number.Write each of the roots in standard form. -1 A)    B)    C) -1 D)    E)
E) Find the cube roots of the following complex number.Write each of the roots in standard form. -1 A)    B)    C) -1 D)    E)

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Do the operation and express the answer in a + bi form. ​ Do the operation and express the answer in a + bi form. ​   ​ A) -17i B) -85i C) -17 D) 17i E) 17


A) -17i
B) -85i
C) -17
D) 17i
E) 17

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Plot the complex number and find its absolute value. ​ -5 + 9i ​


A) ​ Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
|-5 + 9i| = Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
B) ​ Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
|-5 + 9i| = Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
C) ​ Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
|-5 + 9i| = Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
D) ​ Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
|-5 + 9i| = Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
E) ​ Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =
|-5 + 9i| = Plot the complex number and find its absolute value. ​ -5 + 9i ​ A) ​   ​ |-5 + 9i| =   B) ​   ​ |-5 + 9i| =   C) ​   ​ |-5 + 9i| =   D) ​   ​ |-5 + 9i| =   E) ​   ​ |-5 + 9i| =

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Perform the operation and write the result in standard form. ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​


A) ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ Perform the operation and write the result in standard form. ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​

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Plot the complex number and find its absolute value. ​ -4i ​


A) ​ Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​  Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
B) ​ Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​  Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
C) ​ Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
D) ​ Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
E) ​ Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -4i ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​

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Find the absolute value of the complex number -3 + 5i.


A) Find the absolute value of the complex number -3 + 5i. A)    B) ​   C) ​34 D) ​   E) ​
B) ​ Find the absolute value of the complex number -3 + 5i. A)    B) ​   C) ​34 D) ​   E) ​
C) ​34
D) ​ Find the absolute value of the complex number -3 + 5i. A)    B) ​   C) ​34 D) ​   E) ​
E) ​ Find the absolute value of the complex number -3 + 5i. A)    B) ​   C) ​34 D) ​   E) ​

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Find all solutions to the following equation. Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)


A) Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)
B) Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)
C) Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)
D) Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)
E) Find all solutions to the following equation.   ​ A)    B)    C)    D)    E)

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


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

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Find the absolute value of the complex number Find the absolute value of the complex number   . ​ A) ​   B) ​   C) ​68 D) ​   E) ​  . ​


A) ​ Find the absolute value of the complex number   . ​ A) ​   B) ​   C) ​68 D) ​   E) ​
B) ​ Find the absolute value of the complex number   . ​ A) ​   B) ​   C) ​68 D) ​   E) ​
C) ​68
D) ​ Find the absolute value of the complex number   . ​ A) ​   B) ​   C) ​68 D) ​   E) ​
E) ​ Find the absolute value of the complex number   . ​ A) ​   B) ​   C) ​68 D) ​   E) ​

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Write the complex number in trigonometric form. ​ Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​


A) Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​
B) ​ Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​
C) ​ Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​
D) ​ Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​
E) ​ Write the complex number in trigonometric form. ​   ​ A)    B) ​   C) ​   D) ​   E) ​

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

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Plot the complex number and find its absolute value. ​ -2 ​


A) ​ Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​  Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
B) ​ Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​  Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
C) ​ Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
D) ​ Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
E) ​ Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​
Plot the complex number and find its absolute value. ​ -2 ​ A) ​   ​   B) ​   ​   C) ​   ​ ​   D) ​   ​ ​   E) ​   ​ ​

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Perform the operation shown below and leave the result in trigonometric form. Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​


A) Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​
B) ​ Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​
C) ​ Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​
D) ​ Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​
E) ​ Perform the operation shown below and leave the result in trigonometric form.   A)    B) ​   C) ​   D) ​   E) ​

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Given 3+i is a root, determine all other roots of f(x) =x4 - 10x3 + 47x2 - 118x + 130. ​


A) Given 3+i is a root, determine all other roots of f(x) =x<sup>4</sup> - 10x<sup>3</sup> + 47x<sup>2</sup> - 118x + 130. ​ A)    B)    C)    D)    E)
B) Given 3+i is a root, determine all other roots of f(x) =x<sup>4</sup> - 10x<sup>3</sup> + 47x<sup>2</sup> - 118x + 130. ​ A)    B)    C)    D)    E)
C) Given 3+i is a root, determine all other roots of f(x) =x<sup>4</sup> - 10x<sup>3</sup> + 47x<sup>2</sup> - 118x + 130. ​ A)    B)    C)    D)    E)
D) Given 3+i is a root, determine all other roots of f(x) =x<sup>4</sup> - 10x<sup>3</sup> + 47x<sup>2</sup> - 118x + 130. ​ A)    B)    C)    D)    E)
E) Given 3+i is a root, determine all other roots of f(x) =x<sup>4</sup> - 10x<sup>3</sup> + 47x<sup>2</sup> - 118x + 130. ​ A)    B)    C)    D)    E)

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Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)


A) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)
B) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)
C) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)
D) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)
E) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​ A)    B)    C)    D)    E)

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Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)


A) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)
B) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)
C) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)
D) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)
E) Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.   A)    B)    C)    D)    E)

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Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)   i ​


A) Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)
B) Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)
C) ​ Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)
D) Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)
E) Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of   i ​ A)    ​ B)    ​ C) ​   ​ D)    ​ E)

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Do the operation and express the answer in a + bi form. ​ Do the operation and express the answer in a + bi form. ​   ​ A) 19 - 4i B) - 38 - 8i C) 19 + 4i D) - 38 + 8i E) - 19 + 4i


A) 19 - 4i
B) - 38 - 8i
C) 19 + 4i
D) - 38 + 8i
E) - 19 + 4i

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Perform the indicated operation using trigonometric form.Leave answer in trigonometric form. Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​


A) Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​
B) Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​
C) Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​
D) Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​
E) Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.   A)    ​ B)    ​ C)    ​ D)    ​ E)    ​

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