What is the fundamental theorem of algebra?

Solution:

A polynomial is a type of expression in which the exponents of all variables should be a whole number.

The degree of a polynomial is the highest exponential power in the polynomial equation. 

The fundamental theorem of algebra states that a polynomial of degree 'n' can have at most n roots.

In general, a polynomial in one variable and of degree 'n' will have the following form:

 p(x): \(a_n\)xⁿ + \(a_{n-1}\)x^n-1 + ... + \(a_{1}\)x + \(a_{0}\) ,  \(a_{n}\) ≠ 0 can have maximum n zeros.

Thus, the fundamental theorem of algebra states that a polynomial of degree n can have at most n zeros.

What is the fundamental theorem of algebra?

Summary:

The fundamental theorem of algebra states that a polynomial p(x) of degree n can have a maximum of n zeros.