division allowed or not in polynomial?

Question

lgbasallote · Answer

you can divide two polynomials...however the quotient MAY or MAY NOT be a polynomial

does that answer your question?

anonymous · Answer

|dw:1346981787130:dw|

anonymous · Answer

|dw:1346981894049:dw|

anonymous · Answer

It is not, itself, a polynomial. Like @lgbasallote mentioned, the result could POSSIBLY be a polynomial, but it doesn't have to be the case.

anonymous · Answer

i think the answer you are looking for is no
no, if you have a division, like for example $\frac{1}{x}$ that is not a polynomial
all exponents must be non - negative integers

anonymous · Answer

i think we can separate co-efficiendant and variable..for example x/2=0.5x

anonymous · Answer

yaa good mr.satellite

lgbasallote · Answer

$$\frac{x^2}x$$
is still a polynomial though

anonymous · Answer

yaa its x so definitly polynomial.

anonymous · Answer

no it isn't

anonymous · Answer

In @lgbasallote 's case, it would be, @satellite73 .

anonymous · Answer

no it isn't

anonymous · Answer

$$f(x)=\frac{x^2}{x}$$ is not the same as $g(x)=x$ 
first one does not include 0 in its domain, second one does

anonymous · Answer

Yes, it is undefined, but I didn't know that made it not qualify as a polynomial. But, yes, it has to be continuous $\forall x \in D$ for some domain $D$, for it to be a polynomial function.