Question

If Zero polynomial(which is 0) degree is undefined. Then can I put zero's power as negative.​

Answer 1

Answer:

The reason is that it makes a lot more sense to do it this way when you generalize polynomial a to include terms with negative integer coefficient.

Consider

p(x)=2x−3+3x−2

It makes sense to say that this "polynomial" has degree -2, since that's the exponent of the largest term (assuming x>1).

With this in mind we can write a general "polynomial" as

p(x)=∑+∞n=−∞anxn .

The zero "polynomial" is the unique one for which all the a_n are zero. Thus the largest value of n for which a_n is nonzero is negative infinity (all the integers are bigger than negative infinity).