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3.6 – The Fundamental Theorem of Algebra

3.6 – The Fundamental Theorem of Algebra. Objective : Students will be able to use the FTA to write a polynomial equation of least degree when given the roots. . Vocabulary.

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3.6 – The Fundamental Theorem of Algebra

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  1. 3.6 – The Fundamental Theorem of Algebra Objective: Students will be able to use the FTA to write a polynomial equation of least degree when given the roots.

  2. Vocabulary • The Fundamental Theorem of Algebra: Every polynomial function of degree n ≥ 1 has n zeros, including multiplicities.

  3. Writing Polynomial Functions Given Zeros • Example 1: Write the simplest polynomial function with zeros -2, 2, 4.

  4. Example 2 • Zeros: 1, 2/3, 3

  5. Example 3 • Zeros: -2, 2, 3

  6. Homework for tonight • Textbook pg. 193 #11 – 13

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