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.
1 answer
Assuming you mean real coefficients, then D
1 answer