What is always true about complex roots for a polynomial?

Assuming real coefficients, if a + bi is a zero to a polynomial, then a - bi is ALSO a zero. This is ALWAYS true for a polynomial with REAL COEFFICIENTS (which a lot of people mess up on this, but books don't get too technical). Also, there are n complex roots to an equation of degree n.





I hope this helps!What is always true about complex roots for a polynomial?
The truth about complex roots for a polynomial is that they always occur in pairs only; that is in conjugate


If one root is 'a + bi', then definitely there is another root 'a - bi', as well as vice versa. It is 100% true that a polynomial will not have a single complex root at any time.What is always true about complex roots for a polynomial?
Depends. Are the coefficients of the polynomial complex also? If so, the roots can have any value. If the coefficients are real, then the complex roots come in conjugate pairs.
There are two things you can say about every polynomial :


a.) If a + bi is a root, then so is a - bi.


b.) If a polynomial is degree n, then it will have exactly n roots in C (although some may be standard real roots).
i wish i knew