Question

How do you state the multiplicity of multiple zeros?

Answer 1

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 \(n\).

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

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

Answer 6

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