Question 799646
Multiplicity means, the count of the occurrences of the factor.  Know the distinction between a term and a factor.  You are focusing on FACTORs.  


Zero of -1, multiplicity of 1:
Factor is {{{(x-(-1))^1}}} or simply, {{{(x+1)}}}.


Zero of 3, multiplicity of 2:
Factor is {{{(x-3)^2}}}.


Those are the factors.  The x+1 only occurs 1 time.
The x-3 occurs 2 times.  The total exponent on the x when all multiplication is performed will be {{{x^3}}}, which is why you are told "degree 3".


The polynomial function is {{{somethingOf(x)=(x+1)(x-3)^2}}}