Question

is 2x^2+3/x a polynomial​

Answer 1

Answer:

no sice power of x is not a whole number it is an Integer(negative)

Answer 2

While the other answers correctly state that  f(x)=2x  is not a polynomial, but an exponential function, they do not address why exponential functions are not polynomials.

A polynomial is of the form  ∑Nn=0cnxn , where  N  is some positive integer, and  cn∈F , where  F  is the field where you get your coefficients (most likely  R  or  C ). As such, if given  ∑Nn=0cnxn , we see that the  N+1 st derivative is identically  0 . In other words, polynomials always differentiate to  0.  On the other hand, if we have an exponential function  ax , where  a  is a positive constant (which we assume is not  1 ), we can show that the  n th derivative is  ax(ln(a))n , which is never identically  0 . In other words,  ax  (where  a≠1 ) never differentiates to  0 , and thus, exponential functions are not polynomials.