Provide an Appropriate Response $f ( x ) = x ^ { 2 } - ( 2 - i ) x - 2 i$

Provide an appropriate response.
-Is it possible to have a polynomial function whose only zeros are 2 and i? If so, write such a function. If not, explain why.

A) No; the Complex Conjugate Zeros Statement requires that - i must also be a zero.
B) Yes; $f ( x ) = x ^ { 2 } - ( 2 - i ) x - 2 i$ is such a function.
C) No; the Complex Conjugate Zeros Statement requires that $- 2$ and $- \mathrm { i }$ must also be zeros.
D) Yes; $f ( x ) = x ^ { 2 } - ( 2 + i ) x + 2 i$ is such a function.

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free