1. Notes 6.6 Fundamental Theorem of Algebra

2. If P(x) is a polynomial with degree n >1 with complex coefficients, then P(x) = 0 has at least one complex root.

3. An nth degree polynomial equation has exactly n roots; related polynomial function has exactly n zeros.
If you factor a polynomial of degree n, then it has n linear factors.

4. EX 1
x4 – 3x3 + 4x + 1 = 0
State the number of complex roots, the possible number of real roots, and the possible rational roots.

5. EX 2
State the number of complex roots, the possible number of real roots, and the possible rational roots.
x3 + 2x2 – 4x – 6 = 0

6. EX 3
Find all the zeros.
x5 + 3x4 – x - 3