- #1

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For integer x only, is x! considered a polynomial?

- Thread starter tgt
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- #1

- 520

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For integer x only, is x! considered a polynomial?

- #2

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no 4char

- #3

- 441

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well,

x! = x * (x - 1) * (x - 2) * ... * 2 * 1

And for any integer x! = n where n is some integer.

So, is an integer a polynomial?

- #4

HallsofIvy

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That's a strange response! For any integer, x, x

x! = x * (x - 1) * (x - 2) * ... * 2 * 1

And for any integer x! = n where n is some integer.

So, is an integer a polynomial?

Is an integer a polynomial? No, of course not. But that has nothing at all to do with whether or not x

x!, for x a

- #5

- 441

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From Wikipedia:

A function ƒ of one argument is called a polynomial function if it satisfies

for all arguments x, where n is a nonnegative integer and a0, a1,a2, ..., an are constant coefficients.

I think integer fits this definition since n is allowed to be 0, no?

- #6

HallsofIvy

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Yes, you can think of the constant function, whether or not it is an integer, as a polynomial. But that still has nothing to do with the question. Surely you are not confusing a

- #7

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I would think that is exactly what I am doing. I apologize tgt if I mislead you.

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