Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } - 36 x - 208$$

question 254

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } - 36 x - 208$$

• A) \(\{ - 2,4,1 + 5 i , 1 - 5 i \}\)
• B) \(\{ 2 , - 4,1 + 5 i , 1 - 5 i \}\)
• C) \(\{ - 2,4,1 + 6 i , 1 - 6 i \}\)
• D) \(\{ 2 , - 4,1 + \sqrt { 5 } , 1 - \sqrt { 5 } \}\)

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