Question 911776
The description will ultimately give a detail about multiplicity of one of the factors.


As a start the function is something like {{{p(x)=k(x-3/2)(x-3)(x-9)}}} and using the point (3,9) means {{{p(3)=9}}}.  This detail helps you to find the value of k.
p(x) as written there is INCOMPLETE, because you want DEGREE 4, and need to decide which factor gets the power of 2.


Also p has the point  (0,-3), the given y-intercept.  You can distinguish that, from this and general qualities about polynomial functions, {{{k>0}}}.


Can you pick the correct multiplicities of each binomial factor, and get the value of k?