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1.
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Find real numbers a and b such that
the equation is true.
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2.
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Perform the addition or subtraction and write the
result in standard form.
a. |  | b. | 4 | c. | 6 | d. | 5 | e. |  |
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3.
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Write the quotient in standard form.
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4.
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Simplify the complex number and write it in
standard form.
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5.
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Determine the number of solutions of the equation
in the complex number system.
a. |  has degree 6 so there are
three solutions in the complex number system. | b. | 
has degree 3 so there are three solutions in the complex number system. | c. |  has degree 7 so there are no solutions in the
complex number system. | d. | 
has degree 6 so there are no solutions in the complex number system. | e. |  has degree 7 so there are three solutions in
the complex number system. |
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6.
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Find all the zeros of the function and write the
polynomial as a product of linear factors.
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7.
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Use the given zero to find all the zeros of the
function.
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8.
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Solve the equation and write complex solutions in
standard form.
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9.
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Given that  is a zero of
 , find all the zeros
of f.
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10.
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Plot the complex number
and find its absolute value.
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11.
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Perform the operation
and leave the result in trigonometric form.
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12.
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Find the trigonometric form of  .
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13.
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Multiply the complex numbers. Write the answer in
trigonometric form.
a. | 8 cos  | b. | 8 cos  | c. | 8 cos  | d. | 6 cos  | e. | 6 cos  |
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14.
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Multiply the complex numbers. Write the answer in
trigonometric form.
a. | 7 cos  | b. | 10 cos  | c. | 7 cos  | d. | 10 cos  | e. | 10 cos  |
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15.
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Use DeMoivre’s Theorem to find the indicated
power of the complex number. Write the result in standard form.
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16.
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Use DeMoivre’s Theorem to find the indicated
power of the complex number. Write the result in standard form.
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17.
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Use DeMoivre’s theorem to find all the
solutions of the equation and represent the solutions graphically. (Round your answer to four decimal
places.)
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18.
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Use DeMoivre’s theorem to find all the
solutions of the equation and represent the solutions graphically. (Round your answer to four decimal
places.)
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19.
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Write the following roots in standard form. (Round
your answer to four decimal places.)
Cube roots of 
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20.
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Use DeMoivre's Theorem to find the indicated
power of the complex number. Write the result in standard form.
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