The Fundamental Theorem of Algebra guarantees a polynomial of degree above 0 has at least what?

1. Some polynomials have no real zeros at all, so a guarantee about real zeros would be false. 2. The Fundamental Theorem of Algebra promises at least one complex zero for any degree above 0. 3. Applying it repeatedly splits a degree n polynomial into n linear factors. 4. Rational zeros are not guaranteed, since the Rational Zero Theorem only supplies candidates to test. _Source: OpenStax Precalculus (CC BY 4.0), section 3.6 Zeros of Polynomial Functions_