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Fundamental Theorem of Algebra
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In this lesson, we will learn about the Fundamental Theorem of Algebra, the Complete Factorization Theorem, and the Number of Zeros Theorem. The Fundamental Theorem of Algebra tells us that every polynomial function of degree 1 or more with complex coefficients has at least one complex zero. Additionally, we can use the Complete Factorization Theorem to show that a polynomial of degree n will have exactly n complex solutions, although some of these solutions may be repeated. From these theorems, we will be able to write a polynomial function when given the zeros and a point.
Fundamental Theorem of Algebra:
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