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Math Help - Degree of a polynomial function

  1. #1
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    Degree of a polynomial function

    In my textbook it indelibly states that f(x)=a, where a cannot equal 0, is a zero degree function. How can that be so? Shouldn't it be a first degree polynomial function, because if it weren't, wouldn't a always be zero then?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Degree of a polynomial function

    Because you can write:
    f(x)=a=a\cdot 1=a\cdot x^{0}
    So definitely a zero degree polynomial function.
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  3. #3
    Member anonimnystefy's Avatar
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    Re: Degree of a polynomial function

    hi bashyboy

    actually when you have a n-th degree polynomial then it means that the maximum exponent of x in that polynomial is n.so if you have a zero degree polynomial than it means that the maximum exponent of x is 0 which means that your polynomial looks ike this:
    P(x)=a*x^0
    and any number to the power of zero is 1 so:
    P(x)=a*1
    P(x)=a
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