Question

if the degree of polynomial p(x) is n then write maximum numbers of zeros

Answer 1

No. of zeros of a polynomial = Degree of polynomial.

here degree is n so, no. of zeros be = n

Answer 2

The maximum number of zeros of a polynomial p(x) with degree n is equal to n.

This is known as the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n complex roots, including repeated roots.

This means that if the degree of p(x) is n, then p(x) can have at most n distinct zeros.

However, it is possible for some of these zeros to be repeated.

For example, the polynomial$(x-1)^3$ has degree 3, but only one distinct zero (x=1), which is a triple root.

It's important to note that the number of real zeros of a polynomial may be less than the degree of the polynomial. For example, the polynomial $x^2 + 1$  has degree 2, but no real zeros.

For similar question on polynomial p(x).

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