How do you state the multiplicity of multiple zeros?

Question

anonymous · Answer

We take the exponent describing the root in the factored expression, and that becomes your list of multiplicities. To state this we simply say, such and such root has a multiplicity of $n$.

anonymous · Answer

okay so for example you would have to find the zeros of a function to state the multiplicities?

anonymous · Answer

Yes, if we had a function as such: $(x-2)^2$, then the multiplicity of $f(2)=0$ is 2, because its exponent is 2.

anonymous · Answer

what if the function is to be like y=(2x+3)(x-1)^2?

anonymous · Answer

Then $x=-\frac{2}{3}$ has a multiplicity of one, and the latter root $x=1$ has a multiplicity of 2.

anonymous · Answer

ohhh! I get it thank you so much! (: