Zeroes and Factorization of a General Polynomial

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This Zeroes and Factorization of a General Polynomial activity also includes:

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a function rather than the Remainder Theorem as building blocks towards this generalization. Included are detailed solutions and commentary for the teacher.