Question

To be a polynomial expression we need to have +ve whole number exponent, but is x^2/2 a polynomial ?

Answer 1

yes, because 2/2 is 1 which is a positive whole number.

Answer 2

What about x+1/x+1 ?

Answer 3

you mean

Answer 4

no, because 1/x is nothing but x^-1

Answer 5

(x+1)/(x+1) ?

Answer 6

yes because (x + 1)/(x + 1) = 1

Answer 7

No I think they cancel out to make 1 a constant....1=x^0

Answer 8

note that a polynomial doesn't need to have a variable.

Answer 9

does it?

Answer 10

nice point mathbug......

Answer 11

I'm not sure about (x + 1)/(x + 1)

Answer 12

What about when you graph them, will they have smooth curve and no sharp edges, as polynomial should not have ?

Answer 13

I don't think x^0 is a polynomial because the exponent should be a whole POSITIVE number.