6.2.2 Fundamental Theorem of Algebra (continued) Example 2 Finding All Roots of a Polynomial Equation Polynomial functions, like quadratic functions, may have complex zeros that are not real numbers. The Fundamental Theorem of Algebra Every polynomial function of degree n ≥ 1 has at least one zero, where a zero may be a complex number. Every polynomial function of degree n ≥ 1 has exactly n zeros, including multiplicities. Using this theorem, any polynomial function can be written in factored form. To find all roots of a polynomial equation, use a combination of the Rational Root Theorem, the Irrational Root Theorem, and methods for finding complex roots, such as the Quadratic Formula.
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