Fundamental Theorem of Algebra

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 16, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.5

    The Fundamental Theorem of Algebra

    If f(x) is a polynomial of degree n, where n > 0, then f has at least one zero in the complex number system.

    Is there an easier way to say the above statement?
     
    nycmathguy, Sep 16, 2021
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  2. nycmathguy

    MathLover1

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    Fundamental theorem of algebra, Theorem of equations proved by Carl Friedrich Gauss in 1799.

    any polynomial of degree n has n roots but we may need to use complex numbers
     
    MathLover1, Sep 16, 2021
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  3. nycmathguy

    nycmathguy

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    Any polynomial of degree n, where n > 0. Why must n be greater than zero?
     
    nycmathguy, Sep 16, 2021
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  4. nycmathguy

    MathLover1

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    Why must n be greater than zero?

    because it is degree, if n=0 than x^n=x^0=1 which is monomial (just one integer)
     
    MathLover1, Sep 16, 2021
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  5. nycmathguy

    nycmathguy

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    I get it. Makes sense.

    Note: The sections are getting more intense. I will post less questions seeking a more elaborate reply from you per thread when time allows.
     
    nycmathguy, Sep 17, 2021
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