What Is the Fundamental Theorem of Algebra


Question: What is the fundamental theorem of algebra?

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

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

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

Explanation:

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): anxn + an-1xn-1 + ... + a1x + a,  a≠ 0 can have at the maximum n zeros.

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