Show if a is a root of multiplicity $n\geq 2\ $, then $f(a) = 0$ and $f'(a)=0.$
I was trying to learn root of multiplicity and saw this question. My TA did not go over it yet but I was wondering how this proof would look like.
I get root multiplicity under product solutions in $Z_n$ just from reading but this proof goes into detail.
Can someone please show me? Thanks.