The Fundamental Theorem of Algebra states that every polynomial with a degree greater than 0 has at least one root in the set of complex numbers, illustrated with examples like 2+3i, 3i, and 2. The corollary explains that every polynomial of degree n can be factored into n linear factors multiplied by a constant (k ≠ 0).

The Fundamental Theorem of Algebra and its corollary displayed on a whiteboard with handwritten examples.