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# is 3x^2+7 still a polynomial? watch

1. curious
2. Yeah.
3. yes, im pretty sure that unless you are dividing by a variable anything is a polynomial
4. (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, , and are all polynomials, but , are not
5. (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
6. (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, , and are all polynomials, but , 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?
7. (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.
8. (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.
9. (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'?
10. (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"
11. (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
12. (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...
13. To a non-zero exponent is a polynomial.

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