Question 848295
Both conditions are not complete; maybe because the question is intended as open-ended.


(a) indicates that two roots are (x-1) and (x-2).  You must have EITHER one more root, OR repeat one of the two listed roots.  You have a somewhat not fully determined cubic expression, {{{(x-1)(x-2)(x-c)}}}.  For a polynomial, multiply the three binomials, including the variable binomial.


(b)  make a choice for your "c".  You will need to include a factor, whatever you want to call it, my choice being k.
You have {{{f(x)=k(x-1)(x-2)(x-c)}}} and you make what choice of c that you want.  Use the given f values information and solve for k.