Concept If 𝑓(𝑥∗)=𝑓′(𝑥∗)=𝑓″(𝑥∗)=⋯=𝑓(𝑚−1)(𝑥∗)=0 and 𝑓(𝑚)(𝑥∗)≠0, we can say 𝑥∗ is a solution with multiplicity of 𝑚. Example 𝑦=(𝑥−1)3 indicated 1 is a root/solution with multiplicity of 3