Consider the notions `degree of a polynomial' and `zero of a (polynomial) function'.
Which of the following two concepts,
- the degree of a polynomial function,
- a zero of a polynomial,
Both.
1 but not 2.
2 but not 1.
Neither.
What is the degree of a function?
Note that the degree of the polynomial function X -> X2 on Z/2Z
would be 1 rather than 2.
A zero of a polynomial is defined as a zero of the polynomial function!
Correct.
A zero of a polynomial is defined as a zero of the polynomial function!