If a polynomial function contains complex roots then there a

If a polynomial function contains complex roots, then there are an _____ number of complex roots. A. Odd B. Even C. Not Enough Info.

Please explain why as well! Thank you.

Solution

The Fundamental Theorem of Algebra states that every polynomial function of positive degree with complex coefficients has at least one complex zero.

Every polynomial function of positive degree n has exactly n complex zeros.

the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a bi is also a root of P.

the fundamental theorem of algebra, that if the degree of a real polynomial is odd, it must have at least one real root.

A. odd