Question

The degree of The sum of two polynomials each of degree 2 is always 2?

Answer 1

It may not always be of degree 2

Ex:- x² and -x² are both polynomials of degree 2.

When you add these polynomials, you get

x²+(-x²)= x²-x²=0

Degree of 0 is undefined and not 2.

There are many polynomials of degree 2 which may not have degree 2 after addition.