Let . Properties: Computing and are easy. Finding zeroes when is by use of formulas, e.g., when n4 n=2, When there are no formulas. n5, Theorem 4.5 (Fundamental Given with there exists at Theorem of Algebra): n1, least one (possibly complex) such that . r We can uniquely factor using Theorem 4.5: p = , degree polynomial = , degree polynomial =
Let . Properties: Computing and are easy. Finding zeroes when n4 is by use of formulas, e.g., when n=2, When n5, there are no formulas. Theorem 4.5 (Fundamental Theorem of Algebra): Given with n1, there exists at least one r (possibly complex) such that . We can uniquely factor p using Theorem 4.5: = , degree polynomial = , degree polynomial =
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