When solving an equation with the Zero Product Property, the first step is factoring the polynomial. Then, each factor is set equal to and solved as its own equation. In this case, even though there are three factors, solving them will result in only two unique zeros: and This occurrence is described as the multiplicity of zeros; in the example equation above, the zero has multiplicity because it only occurs once. On the other hand, has multiplicity because there are two factors.
Note: The multiplicity of a zero being greater than implies that, algebraically, the zero occurs multiple times. The graph, however, does not intercept the axis at this point multiple times. In this example, the zero has a multiplicity of but the graph intercepts the axis at only once.