I read the following text on This Page:
Does every polynomial have at least one imaginary zero?
No. Real numbers are a subset of complex numbers, but not the other way around. A complex number is not necessarily imaginary. Real numbers are also complex numbers.
Now, FTA states that:
every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with its imaginary part equal to zero.
my understanding is that, unless "Complex Root" means something different than "Imaginary Zero", the former page statement is wrong. Please clarify the situation. Thanks.
Edit: After reading the good comments below, I came across this diagram which helps: Diagram-Classifying Numbers