Provide an appropriate response.Is it possible to have a polynomial function whose only zeros are 7 and i? If so, write such a function. If not, explain why.
A. Yes; P(x) = x2 - (7 + i)x + 7i is such a function.
B. No; the conjugate zeros theorem requires that -7 and -i must also be zeros.
C. No; the conjugate zeros theorem requires that -i must also be a zero.
D. Yes; P(x) = x2 - (7 - i)x - 7i is such a function.
Answer: A
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