mamagrierovu6kk
mamagrierovu6kk mamagrierovu6kk
  • 18-03-2018
  • Mathematics
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A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.

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MiNk2019314
MiNk2019314 MiNk2019314
  • 18-03-2018
You didn't give the fourth zero, but the answer is still false. If you have a root or an imaginary number as a zero, then its conjugate is also a zero. So if 8i is a zero, then -8i must also be a zero, and if 4i is a zero, then -4i must be a zero, with those zeros and -4, the number of zeroes exceeds the number of zeroes that a fourth degree polynomial can have.
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