Question

What is the maximum number of zeros a polynomial function of degree n can have?

A) n
B) n - 1
C) n + 1
D) 2n

Answer 1

The maximum number of zeros a polynomial function of degree n can have is n, as per the fundamental theorem of algebra.

Step-by-step explanation:

In answering the question of what the maximum number of zeros a polynomial function of degree n can have, we look at the fundamental theorem of algebra which states that every polynomial function of degree n has exactly n complex zeros, counting multiplicity.

The maximum number of zeros a polynomial function of degree n can have is n, as per the fundamental theorem of algebra. Thus, a polynomial of degree n cannot have more than n zeros.

If we consider only the real zeros and the degree of the polynomial, the number of real zeros can be less than or equal to n, but never more than n. This makes option A) n the correct answer.