Determine whether the function is a polynomial function.
-$$f ( x ) = \frac { x ^ { 3 } - 1 } { x ^ { 6 } }$$
A) $\mathrm { No }$
B) Yes

Question

Quizplus · Accepted Answer

A polynomial function is defined as a function that can be written in the form $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$, where $n$ is a non-negative integer and the coefficients $a_n, a_{n-1}, \ldots, a_0$ are real numbers. The given function $f(x) = \frac{x^3 - 1}{x^6}$ involves division by a variable, which does not fit the definition of a polynomial function.

Determine Whether the Function Is a Polynomial Function f(x)=x3−1x6f ( x ) = \frac { x ^ { 3 } - 1 } { x ^ { 6 } }f(x)=x6x3−1​

Determine Whether the Function Is a Polynomial Function $f ( x ) = \frac { x ^ { 3 } - 1 } { x ^ { 6 } }$