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

1 Answer
Alan P.
Aug 22, 2015

#[-(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#)

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