Asked by Anonymous
There is at least one polynomial with real functions with 9+i as its only nonreal zero.
A. The statement is false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n.
B.The statement is true. If 9 plus i9+i is a repeated zero, it can be the only nonreal zero of the polynomial.
C.The statement is true. Any polynomial with a single x-intercept of 9 plus i9+i fits the description.
D.The statement is false. From the Complex Conjugate Zeros Theorem, there must be at least one more nonreal zero.
A. The statement is false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n.
B.The statement is true. If 9 plus i9+i is a repeated zero, it can be the only nonreal zero of the polynomial.
C.The statement is true. Any polynomial with a single x-intercept of 9 plus i9+i fits the description.
D.The statement is false. From the Complex Conjugate Zeros Theorem, there must be at least one more nonreal zero.
Answers
Answered by
Steve
Assuming you mean real coefficients, then D
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