I have a test up tomorrow and I really need to know how to solve this; somehow I didn't write explanations in my notes so although I kind of have a vague idea of how to solve it, I don't get it.

Find a polynomialf(x)of degree 4, given thatf(1)=f(2)=f(-2)=0andf(3)=f(-3)=40.thank you so much in advance.