# How do you find the number of roots for # f(x) = x^4 + 2x^3 - 3x^2 - 4x - 12# using the fundamental theorem of algebra?

##### 1 Answer

#### Explanation:

The Fundamental Theorem of Algebra states that every non-constant polynomial equation in one variable with Complex coefficients has a Complex root.

Complex numbers here include Real numbers, that is numbers of the form

A simple corollary of this, sometimes stated as part of the fundamental theorem is that a polynomial of degree

To prove the corollary from the theorem, find the first root then divide your polynomial by the corresponding factor. The resulting quotient polynomial will have degree