State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
-$$f ( x ) = \sqrt { x } ( \sqrt { x } - 5 )$$
A) Yes; degree 1
B) No; it is a product
C) No; $x$ is raised to non-integer power
D) Yes; degree 2

Question

Quizplus · Accepted Answer

The function is not a polynomial because it involves $x$ raised to a non-integer power. Specifically, $\sqrt{x}$ implies $x$ is raised to the power of $1/2$, which is not an integer.

State Whether the Function Is a Polynomial Function or Not f(x)=x(x−5)f ( x ) = \sqrt { x } ( \sqrt { x } - 5 )f(x)=x​(x​−5)

State Whether the Function Is a Polynomial Function or Not $f ( x ) = \sqrt { x } ( \sqrt { x } - 5 )$