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

Question

anonymous · Answer

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

anonymous · Answer

no

anonymous · Answer

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

anonymous · Answer

Exponents in polynomial functions are positive integers.

anonymous · Answer

$$\frac{5}{4} \notin \mathbb{N}$$

anonymous · Answer

@Calcmathlete so it is not?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

@Calcmathlete

lgbasallote · Answer

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

lgbasallote · Answer

integer are whole numbers

lgbasallote · Answer

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

lgbasallote · Answer

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

anonymous · Answer

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

lgbasallote · Answer