# How do you find the number of roots for # x^2-4x+4# using the fundamental theorem of algebra?

##### 1 Answer

Jan 4, 2016

The **Fundamental Theorem of Algebra** simply states for a **polynomial** that the total number of roots (both **real** and **imaginary** ) must equal the value of the **highest exponent**

#### Explanation:

For this problem, the highest exponent **two roots** .

Using factoring ...

So, this polynomial has root **multiplicity** of 2. That simply means that 2 is a **double root** . Here is a sketch ...

Hope that helps