# What Is the Fundamental Theorem of Algebra

## Question: What is the fundamental theorem of algebra?

A 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): a_{n}x^{n} + a_{n-1}x^{n-1} + ... + a_{1}x + a_{0 }, a_{n }≠ 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.

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