Question

Which of the following expressions is a polynomial?

Answer 1

   
See the attached file resolution.

Answer 2

Polynomial requirements
1. never divide by a placeholder
2. variable exponent has to be a whole number
3. can't have infinte terms


by 1. we eliinate 2nd one

by 2. we eliminate first one (√x=x^1/2) and 3rd one because it has an exponent in placeholder

thie leaves us with last one
f(x)=2x³-5x⁵-(2/9)x²+9


last one is answer