Solve the Polynomial Equation in the Complex Numbers $3 x ^ { 4 } - 22 x ^ { 3 } + 64 x ^ { 2 } - 58 x + 13 = 0$

question 119

Multiple Choice

Solve the polynomial equation in the complex numbers.
- $3 x ^ { 4 } - 22 x ^ { 3 } + 64 x ^ { 2 } - 58 x + 13 = 0$

• A) \(\left\{ 1 , \frac { 1 } { 3 } , 3 + 2 i , 3 - 2 i \right\}\)
• B) \(\left\{ 1 , - \frac { 1 } { 3 } , 2 + 3 \mathrm { i } , 2 - 3 \mathrm { i } \right\}\)
• C) \(\left\{ - 1 , - \frac { 1 } { 3 } , 2 + 3 i , 2 - 3 i \right\}\)
• D) \(\left\{ - 1 , \frac { 1 } { 3 } , 3 + 2 i , 3 - 2 i \right\}\)

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Definitions:

Mutation

A change in the DNA sequence within a gene or chromosome of an organism that can result in a different trait or characteristic.

Evolutionary Change

The pathway through which multiple categories of living beings are believed to have advanced and diversified from primitive forms during the chronological history of Earth.

Fully Aquatic

Pertains to organisms that spend their entire life cycle living in water.

Baleen

A filter-feeding system inside the mouths of baleen whales, it consists of keratin plates for filtering small food items from water.