Question

How do you find the degree of `-(x-4)(+1)^2(x-1)^3`?

Answer 1

`[-(x-4)(+1)^2(x-1)^3]` has degree `4`

Explanation:

The degree of a polynomial is the degree of the term with the highest degree.

The degree of a term is sum of the degrees of the variables which are factors of that term.

You could multiply the given expression out to obtain a canonical form...something like `x^4-10x^3+15x^2-13x+4` (unverified)
or you could simply recognize that this expression will have a maximum term degree of `4` (a term `x^4`)