It is a standard convention that the degree of the zero polynomial is negative infinity. That is, $$\deg(0)=-\infty.$$ We explore the reasons for this strange definition, justify it, and look at some of its implications in this video.
It is a standard convention that the degree of the zero polynomial is negative infinity. That is, $$\deg(0)=-\infty.$$ We explore the reasons for this strange definition, justify it, and look at some of its implications in this video.