How to find the roots of a polynomial equation?

Polynomial equation is an expression that consists of coefficients and variables and involves the basic operations like subtraction, addition, division and multiplication. An example of a polynomial equation would be x^2+4x + 4. The roots of a polynomial that are the values of x that would make the expression equal to zero. To determine the roots, there are multiple ways to do this. One would be by factoring. It involves the breaking up of a polynomial into terms that are simpler so that when they are multiplied again, it would be equal to the original expression. For the given example, we factor as follows:

x^2+4x + 4

(x+2) (x+2)

Therefore, the roots are - 2 and - 2.