Question

Is `h(x) = sqrt{x} times (sqrt{x} - 1)` a polynomial function and if so what is the degree?

Answer 1

No, it is not a polynomial function. See explanation.

Explanation:

To find if it is a polynomial first we have to write the function s a sum of terms. To do so we have to multiply:

`h(x)=sqrt(x)xx(sqrt(x)-1)=x-sqrt(x)`

In a polynomial only expressions like `x^n` for natural `n` are allowed. `h(x)` contains `sqrt(x)` so it is not a polynomial.