PLEASE HELP ME FIND THIS POLYNOMIAL FUNCTION

Question

Find the polynomial function with real coefficients that has the following degree, and solutions and also passes through the point given. Degree: 4 Zeros: -3,2,-2,-5 Solution Point: (1,12)

Answer 1

F(x)=k(X+3)(x-2)(x+2)(x+5)

(1,12) --> f(1)=12

12= k*4*-1*3*6

12=-72k

K= -1/6