88
QuizMultiple Choice

N/A — Exam

Question 88 • Algebra II

If 9 i is a root of the polynomial function f of x , which of the following must also be a root of f of x ?

Answer
A
negative 1 ninth i
B
negative 9 i
C
9 minus i
D
1 ninth i

Explanation

For a polynomial with real coefficients, any nonreal complex root must occur with its complex conjugate. The conjugate of 9i is −9i, so −9i must also be a root. The other choices are not the complex conjugate of 9i.

AI-written and checked against the verified answer.

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