Question

Determine whether the function is a polynomial function. I will post the function

Answer 1

\[\sqrt[4]{x^{5}}-x^{2}\] +3

Answer 2

no

Answer 3

explanation plz? fyi the +3 is part of the function

Answer 4

Exponents in polynomial functions are positive integers.

Answer 5

\[\frac{5}{4} \notin \mathbb{N}\]

Answer 6

@Calcmathlete so it is not?

Answer 7

It is not a polynomial function because polynomial functions MUST have positive integers for exponents.

Answer 8

but in my book, they gave -3x^6-3x^5+18x^4 as a polynomial function and they say it is not a polynomial function if the EXPONENT on the variable is not a nonnegative integer

Answer 9

@Calcmathlete

Answer 10

\[\sqrt[4]{x^5} = x^{5/4}\]
5/4 is NOT an integer

Answer 11

integer are whole numbers

Answer 12

so basically a polynomial can only have exponents like 0,1,2,3,4,....

all nonnegative whole numbers (if you want to phrase it that way) exponents

Answer 13

btw..for the sake of information.. 5/4 is a rational number (fraction).

Answer 14

ohhh thank you so much! it makes so much sense now!

Answer 15

<tips imaginary hat>