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

Aug 22, 2015

$\left[- \left(x - 4\right) {\left(+ 1\right)}^{2} {\left(x - 1\right)}^{3}\right]$ 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 ${x}^{4} - 10 {x}^{3} + 15 {x}^{2} - 13 x + 4$ (unverified)
or you could simply recognize that this expression will have a maximum term degree of $4$ (a term ${x}^{4}$)