Question

At most, how many unique roots with a fifth degree polynomial function have?

Answer 1

The main polynomial thereom says that for every polynom f(x) of degree n then the equation f(x)=0 cannot have more than n roots (counting multiplicity).
If you have a fifth degree polynomial function, then the polynom f(x) cannot have more than unique 5 roots (if some of them have multiplicity more than 1, then the number of roots is less).
Hence the correct choice is A.