Question

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.A No; it is a ratioBYes; degree 1CNo; x is a negative termDYes; degree 4

Answer 1

Given:

The function is,

$\frac{8-x^4}{9}$

It can be written as,

$\frac{8}{9}-\frac{x^4}{9}$

Polynomial is a combination of terms seperated using + and - sign which does not contain,

1) Variable in demominator

2) Variables under radical

3) special features like trigonometric function, absolute values etc.

So, it shows that the given function is polynomial with degree 4.

Answer: option D)