# How do you find the complex roots of #x+8=0#?

##### 1 Answer

Jan 10, 2017

#### Answer:

This equation has one real (complex) root, namely

#### Explanation:

Given:

#x+8=0#

This is a polynomial equation of degree

We can subtract

#x = -8#

This is the only root.

**Footnote**

The Fundamental Theorem of Algebra (FTOA) tells us that any non-constant polynomial has a zero in the Complex numbers.

A straightforward corollary of the FTOA, often stated with it, is that a polynomial of degree

So a linear equation has exactly one root, a quadratic equation has two, a cubic has three, etc.