# 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): \(a_n\)x^{n} + \(a_{n-1}\)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.

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