# What is the rational zeros theorem?

##### 1 Answer

Aug 7, 2018

See explanation...

#### Explanation:

The rational zeros theorem can be stated:

Given a polynomial in a single variable with integer coefficients:

#a_n x^n + a_(n-1) x^(n-1) + ... + a_0#

with

Interestingly, this also holds if we replace "integers" with the element of any integral domain. For example it works with Gaussian integers - that is numbers of the form