Question

How would you know if a root in your polynomial has a multiplicity of 2?

Option 1: It crosses the x-axis at the value of X.
Option 2: It bounces off the x-axis at the value of X.
Option 3: It bends through the x-axis at the value of X.
Option 4: It crosses through what it believes to be the x-axis out in space.

Answer 1

A root in a polynomial has a multiplicity of 2 if it bounces off the x-axis at the value of X.

Step-by-step explanation:

In algebra, the multiplicity of a root of a polynomial is the number of times the root appears as a factor in the polynomial. In other words.

A root in a polynomial has a multiplicity of 2 if it bounces off the x-axis at the value of X. This means that the graph of the polynomial touches the x-axis at that value but does not cross it. It curves and changes direction at the x-axis, creating a bounce-like behavior.