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Is every complex zero of a polynomial an imaginary number?
ANo, real numbers are complex too
BYes, all complex zeros are imaginary
CNo, only rational zeros count here
DYes, unless the degree is even
Answer & Solution
Correct answer: A. No, real numbers are complex too
1. A complex number has the form a + bi, and b is allowed to be 0.
2. When b is 0 the number is real, so every real number is also a complex number.
3. So a guarantee of a complex zero does not promise an imaginary one.
_Source: OpenStax Precalculus (CC BY 4.0), section 3.6 Zeros of Polynomial Functions_
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