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    curious
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    Yeah.
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    yes, im pretty sure that unless you are dividing by a variable anything is a polynomial
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    (Original post by fliscia)
    yes, im pretty sure that unless you are dividing by a variable anything is a polynomial
    What do you mean by anything? Are we only talking about algebraic functions? If so, the function is only a polynomial if all the exponents are non-negative integers. For example, x, 3x^2 + 7 and x^5 + 3x^3 + 6 are all polynomials, but \frac 1 x, \sqrt x are not
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    (Original post by fliscia)
    yes, im pretty sure that unless you are dividing by a variable anything is a polynomial
    Ahh yes, ln(x) the polynomial
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    (Original post by _gcx)
    What do you mean by anything? Are we only talking about algebraic functions? If so, the function is only a polynomial if all the exponents are non-negative integers. For example, x, 3x^2 + 7 and x^5 + 3x^3 + 6 are all polynomials, but \frac 1 x, \sqrt x are not
    (Original post by zeldor711)
    Ahh yes, ln(x) the polynomial
    Haha, guess i should have been a bit more explanatory than just saying 'anything'. I'll rephrase my sentence: "In the case of functions consisting of at least one variable a polynomial can be defined as being such a function so long as only addition, subtraction, multiplication and exponents (excluding negative number values) are used. Therefore in the case of 3x^2+7, it can be defined as a polynomial." Any better?
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    (Original post by fliscia)
    Haha, guess i should have been a bit more explanatory than just saying 'anything'. I'll rephrase my sentence: "In the case of functions consisting of at least one variable a polynomial can be defined as being such a function so long as only addition, subtraction, multiplication and exponents (excluding negative number values) are used. Therefore in the case of 3x^2+7, it can be defined as a polynomial." Any better?
    I hate to be that guy but what about e^x Last I checked it was an exponential function.
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    (Original post by zeldor711)
    I hate to be that guy but what about e^x Last I checked it was an exponential function.
    Their definition excludes e^x, assuming it's meant how I read it.
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    (Original post by zeldor711)
    I hate to be that guy but what about e^x Last I checked it was an exponential function.
    Heck. How about 'excluding those where the variable is to the power of a known constant'?
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    (Original post by _gcx)
    Their definition excludes e^x, assuming it's meant how I read it.
    Does it? "In the case of functions consisting of at least one variable a polynomial can be defined as being such a function so long as only addition, subtraction, multiplication and exponents are used"
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    (Original post by zeldor711)
    Does it? "In the case of functions consisting of at least one variable a polynomial can be defined as being such a function so long as only addition, subtraction, multiplication and exponents are used"
    (Non-negative integer) exponents of variables... Maybe a bit vague, but I think most would understand what they meant
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    (Original post by _gcx)
    (Non-negative integer) exponents of variables... Maybe a bit vague, but I think most would understand what they meant
    Fair enough, I concede...
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    To a non-zero exponent is a polynomial.
 
 
 
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