What does the fundamental theorem of algebra tell us about a polynomial

The video tutorial covers the fundamental theorem of algebra, explaining how the degree of a polynomial indicates the number of zeros, both real and complex. It emphasizes that complex zeros occur in pairs due to the nature of square roots of negative numbers. The tutorial also compares rational and irrational zeros, highlighting the necessity of having both positive and negative counterparts for irrational zeros.

What does the fundamental theorem of algebra state about the degree of a polynomial?

Explain why complex zeros come in pairs.

How many complex zeros can a polynomial have according to the discussion?

What is the relationship between irrational zeros and their negative counterparts?

How can you determine the number of real and complex zeros in a polynomial?